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141131286792 = 23332347604427
BaseRepresentation
bin1000001101110000010…
…1001000100100001000
3111111021200102012111000
42003130011020210020
54303014102134132
6144500153135000
713124236100346
oct2033405104410
9444250365430
10141131286792
1154942a28701
12234286ba460
1310402078572
146b8b992996
153a101d787c
hex20dc148908

141131286792 has 128 divisors (see below), whose sum is σ = 417780633600. Its totient is φ = 44040896064.

The previous prime is 141131286781. The next prime is 141131286799. The reversal of 141131286792 is 297682131141.

It is a super-2 number, since 2×1411312867922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141131286799) 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, 68718 + ... + 535709.

It is an arithmetic number, because the mean of its divisors is an integer number (3263911200).

Almost surely, 2141131286792 is an apocalyptic number.

141131286792 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 141131286792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208890316800).

141131286792 is an abundant number, since it is smaller than the sum of its proper divisors (276649346808).

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

141131286792 is a wasteful number, since it uses less digits than its factorization.

141131286792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604512 (or 604502 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 141131286792 in words is "one hundred forty-one billion, one hundred thirty-one million, two hundred eighty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 47 54 69 72 92 94 108 138 141 184 188 207 216 276 282 376 414 423 552 564 621 828 846 1081 1128 1242 1269 1656 1692 2162 2484 2538 3243 3384 4324 4968 5076 6486 8648 9729 10152 12972 19458 25944 29187 38916 58374 77832 116748 233496 604427 1208854 1813281 2417708 3626562 4835416 5439843 7253124 10879686 13901821 14506248 16319529 21759372 27803642 28408069 32639058 41705463 43518744 55607284 56816138 65278116 83410926 85224207 111214568 113632276 125116389 130556232 166821852 170448414 227264552 250232778 255672621 333643704 340896828 375349167 500465556 511345242 653385587 681793656 750698334 767017863 1000931112 1022690484 1306771174 1501396668 1534035726 1960156761 2045380968 2613542348 3002793336 3068071452 3920313522 5227084696 5880470283 6136142904 7840627044 11760940566 15681254088 17641410849 23521881132 35282821698 47043762264 70565643396 141131286792