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141924338472 = 23374720838629
BaseRepresentation
bin1000010000101101011…
…0011000101100101000
3111120022221200101212110
42010023112120230220
54311130112312342
6145111003042320
713153005654360
oct2041326305450
9446287611773
10141924338472
115520a653114
122360a2103a0
13104ca467907
146c2502d9a0
153a59b3ac9c
hex210b598b28

141924338472 has 128 divisors (see below), whose sum is σ = 414372556800. Its totient is φ = 39663399168.

The previous prime is 141924338467. The next prime is 141924338557. The reversal of 141924338472 is 274833429141.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16443054 + ... + 16451682.

It is an arithmetic number, because the mean of its divisors is an integer number (3237285600).

Almost surely, 2141924338472 is an apocalyptic number.

141924338472 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 141924338472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207186278400).

141924338472 is an abundant number, since it is smaller than the sum of its proper divisors (272448218328).

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

141924338472 is a wasteful number, since it uses less digits than its factorization.

141924338472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10775 (or 10771 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 141924338472 in words is "one hundred forty-one billion, nine hundred twenty-four million, three hundred thirty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2083 2632 3948 4166 6249 7896 8332 8629 12498 14581 16664 17258 24996 25887 29162 34516 43743 49992 51774 58324 60403 69032 87486 97901 103548 116648 120806 174972 181209 195802 207096 241612 293703 349944 362418 391604 405563 483224 587406 685307 724836 783208 811126 1174812 1216689 1370614 1449672 1622252 2055921 2349624 2433378 2741228 2838941 3244504 4111842 4866756 5482456 5677882 8223684 8516823 9733512 11355764 16447368 17033646 17974207 22711528 34067292 35948414 53922621 68134584 71896828 107845242 125819449 143793656 215690484 251638898 377458347 431380968 503277796 754916694 844787729 1006555592 1509833388 1689575458 2534363187 3019666776 3379150916 5068726374 5913514103 6758301832 10137452748 11827028206 17740542309 20274905496 23654056412 35481084618 47308112824 70962169236 141924338472