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144331402343004 = 2232312161401914891
BaseRepresentation
bin100000110100010011000101…
…111101110111001001011100
3200221000221120120220120121100
4200310103011331313021130
5122404211202444434004
61230544533023233100
742254412461525142
oct4064230575671134
9627027516816540
10144331402343004
1141a96670a021a8
1214230486748790
13626c5150bbb86
14278d96a139592
1511a45ce938739
hex8344c5f7725c

144331402343004 has 144 divisors (see below), whose sum is σ = 376900002984960. Its totient is φ = 46522268352000.

The previous prime is 144331402342999. The next prime is 144331402343033. The reversal of 144331402343004 is 400343204133441.

144331402343004 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 314 + 0 + 2 + 34 + 300 + 4 = 666.

144331402343004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144331402343004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9692518399 + ... + 9692533289.

It is an arithmetic number, because the mean of its divisors is an integer number (2617361131840).

Almost surely, 2144331402343004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144331402343004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188450001492480).

144331402343004 is an abundant number, since it is smaller than the sum of its proper divisors (232568600641956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144331402343004 is a wasteful number, since it uses less digits than its factorization.

144331402343004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21112 (or 21107 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 144331402343004 its reverse (400343204133441), we get a palindrome (544674606476445).

The spelling of 144331402343004 in words is "one hundred forty-four trillion, three hundred thirty-one billion, four hundred two million, three hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2161 4019 4322 6483 8038 8644 12057 12966 14891 16076 19449 24114 25932 29782 36171 38898 44673 48228 59564 66991 72342 77796 89346 124589 133982 134019 144684 178692 200973 249178 267964 268038 373767 401946 461621 498356 536076 602919 747534 803892 923242 1121301 1205838 1384863 1495068 1846484 2242602 2411676 2769726 4154589 4485204 5539452 8309178 8685059 16618356 17370118 26055177 32179451 34740236 52110354 59846929 64358902 78165531 96538353 104220708 119693858 128717804 156331062 179540787 193076706 239387716 269236829 289615059 312662124 359081574 386153412 538473658 538622361 579230118 718163148 807710487 997562981 1076947316 1077244722 1158460236 1615420974 1855254799 1995125962 2154489444 2423131461 2992688943 3230841948 3710509598 3990251924 4846262922 5565764397 5985377886 7421019196 8978066829 9692525844 11131528794 11970755772 16697293191 17956133658 22263057588 33394586382 35912267316 66789172764 129329213569 258658427138 387987640707 517316854276 775975281414 1163962922121 1551950562828 2327925844242 4009205620639 4655851688484 8018411241278 12027616861917 16036822482556 24055233723834 36082850585751 48110467447668 72165701171502 144331402343004