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14844343152 = 24317233372347
BaseRepresentation
bin11011101001100101…
…01011001101110000
31102022112020202122010
431310302223031300
5220400122440102
610452553442520
71033566556242
oct156462531560
942275222563
1014844343152
1163282767a1
122a63410440
131527519402
14a0b6a6092
155bd318d6c
hex374cab370

14844343152 has 160 divisors (see below), whose sum is σ = 42512850432. Its totient is φ = 4439457792.

The previous prime is 14844343147. The next prime is 14844343159. The reversal of 14844343152 is 25134344841.

It is a super-2 number, since 2×148443431522 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14844343152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14844343159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6323643 + ... + 6325989.

Almost surely, 214844343152 is an apocalyptic number.

14844343152 is a gapful number since it is divisible by the number (12) 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 14844343152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21256425216).

14844343152 is an abundant number, since it is smaller than the sum of its proper divisors (27668507280).

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

14844343152 is a wasteful number, since it uses less digits than its factorization.

14844343152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2729 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

Adding to 14844343152 its reverse (25134344841), we get a palindrome (39978687993).

The spelling of 14844343152 in words is "fourteen billion, eight hundred forty-four million, three hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 337 368 391 408 552 674 782 816 1011 1104 1173 1348 1564 2022 2346 2347 2696 3128 4044 4692 4694 5392 5729 6256 7041 7751 8088 9384 9388 11458 14082 15502 16176 17187 18768 18776 22916 23253 28164 31004 34374 37552 39899 45832 46506 53981 56328 62008 68748 79798 91664 93012 107962 112656 119697 124016 131767 137496 159596 161943 186024 215924 239394 263534 274992 319192 323886 372048 395301 431848 478788 527068 638384 647772 790602 790939 863696 917677 957576 1054136 1295544 1581204 1581878 1835354 1915152 2108272 2372817 2591088 2753031 3162408 3163756 3670708 4745634 5506062 6324816 6327512 7341416 9491268 11012124 12655024 13445963 14682832 18191597 18982536 22024248 26891926 36383194 37965072 40337889 44048496 53783852 54574791 72766388 80675778 107567704 109149582 145532776 161351556 215135408 218299164 291065552 309257149 322703112 436598328 618514298 645406224 873196656 927771447 1237028596 1855542894 2474057192 3711085788 4948114384 7422171576 14844343152