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141445524048 = 243171972693271
BaseRepresentation
bin1000001110111011001…
…1110110101001010000
3111112002120201002221220
42003232303312221100
54304140023232143
6144551300245040
713135103055063
oct2035663665120
9445076632856
10141445524048
1154a94346814
12234b59a0780
13104521bc77a
146bbb5d08da
153a2caa9d83
hex20eecf6a50

141445524048 has 160 divisors (see below), whose sum is σ = 390423939840. Its totient is φ = 43972239360.

The previous prime is 141445524047. The next prime is 141445524053. The reversal of 141445524048 is 840425544141.

141445524048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141445524047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43240653 + ... + 43243923.

It is an arithmetic number, because the mean of its divisors is an integer number (2440149624).

Almost surely, 2141445524048 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 141445524048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195211969920).

141445524048 is an abundant number, since it is smaller than the sum of its proper divisors (248978415792).

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

141445524048 is a wasteful number, since it uses less digits than its factorization.

141445524048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 141445524048 in words is "one hundred forty-one billion, four hundred forty-five million, five hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 197 204 269 272 394 408 538 591 788 807 816 1076 1182 1576 1614 2152 2364 3152 3228 3271 3349 4304 4573 4728 6456 6542 6698 9146 9456 9813 10047 12912 13084 13396 13719 18292 19626 20094 26168 26792 27438 36584 39252 40188 52336 52993 53584 54876 55607 73168 78504 80376 105986 109752 111214 157008 158979 160752 166821 211972 219504 222428 317958 333642 423944 444856 635916 644387 667284 847888 879899 889712 900881 1271832 1288774 1334568 1759798 1801762 1933161 2543664 2577548 2639697 2669136 2702643 3519596 3603524 3866322 5155096 5279394 5405286 7039192 7207048 7732644 10310192 10558788 10810572 10954579 14078384 14414096 14958283 15465288 21117576 21621144 21909158 29916566 30930576 32863737 42235152 43242288 43818316 44874849 59833132 65727474 87636632 89749698 119666264 131454948 173340103 175273264 179499396 239332528 262909896 346680206 358998792 520020309 525819792 693360412 717997584 1040040618 1386720824 2080081236 2773441648 2946781751 4160162472 5893563502 8320324944 8840345253 11787127004 17680690506 23574254008 35361381012 47148508016 70722762024 141445524048