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141304244004 = 2232711355914323
BaseRepresentation
bin1000001110011001100…
…0111010011100100100
3111111201201212100011200
42003212120322130210
54303342341302004
6144525252202500
713131436153650
oct2034630723444
9444651770150
10141304244004
1154a2161aa50
1223476609430
131042bb54901
146ba6935a60
153a2049e239
hex20e663a724

141304244004 has 144 divisors (see below), whose sum is σ = 445478691840. Its totient is φ = 36689526720.

The previous prime is 141304243939. The next prime is 141304244017. The reversal of 141304244004 is 400442403141.

141304244004 is a `hidden beast` number, since 1 + 413 + 0 + 4 + 244 + 0 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9858387 + ... + 9872709.

Almost surely, 2141304244004 is an apocalyptic number.

141304244004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141304244004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222739345920).

141304244004 is an abundant number, since it is smaller than the sum of its proper divisors (304174447836).

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

141304244004 is a wasteful number, since it uses less digits than its factorization.

141304244004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17910 (or 17905 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 141304244004 its reverse (400442403141), we get a palindrome (541746647145).

The spelling of 141304244004 in words is "one hundred forty-one billion, three hundred four million, two hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3559 7118 10677 14236 14323 21354 24913 28646 32031 39149 42708 42969 49826 57292 64062 74739 78298 85938 99652 100261 117447 128124 128907 149478 156596 157553 171876 200522 224217 234894 257814 274043 298956 300783 315106 352341 401044 448434 469788 472659 515628 548086 601566 630212 704682 822129 896868 902349 945318 1096172 1102871 1203132 1409364 1417977 1644258 1804698 1890636 2205742 2466387 2835954 3288516 3308613 3609396 4411484 4932774 5671908 6617226 9865548 9925839 13234452 19851678 39703356 50975557 101951114 152926671 203902228 305853342 356828899 458780013 560731127 611706684 713657798 917560026 1070486697 1121462254 1427315596 1682193381 1835120052 2140973394 2242924508 3211460091 3364386762 3925117889 4281946788 5046580143 6422920182 6728773524 7850235778 10093160286 11775353667 12845840364 15700471556 20186320572 23550707334 35326061001 47101414668 70652122002 141304244004