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141138944320 = 26511231743317
BaseRepresentation
bin1000001101110010001…
…0010110000101000000
3111111022012211020122011
42003130202112011000
54303023032204240
6144501025222304
713124361142453
oct2033442260500
9444265736564
10141138944320
1154947288940
122342b191994
1310403829b4a
146b8c9c749a
153a10beb6ea
hex20dc896140

141138944320 has 112 divisors (see below), whose sum is σ = 382581595008. Its totient is φ = 49091778560.

The previous prime is 141138944299. The next prime is 141138944327. The reversal of 141138944320 is 23449831141.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141138944327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790699 + ... + 952618.

Almost surely, 2141138944320 is an apocalyptic number.

141138944320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141138944320 is an abundant number, since it is smaller than the sum of its proper divisors (241442650688).

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

141138944320 is a wasteful number, since it uses less digits than its factorization.

141138944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743368 (or 1743358 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 141138944320 in words is "one hundred forty-one billion, one hundred thirty-eight million, nine hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 704 736 880 920 1012 1265 1472 1760 1840 2024 2530 3520 3680 4048 5060 7360 8096 10120 16192 20240 40480 80960 1743317 3486634 6973268 8716585 13946536 17433170 19176487 27893072 34866340 38352974 40096291 55786144 69732680 76705948 80192582 95882435 111572288 139465360 153411896 160385164 191764870 200481455 278930720 306823792 320770328 383529740 400962910 441059201 557861440 613647584 641540656 767059480 801925820 882118402 1227295168 1283081312 1534118960 1603851640 1764236804 2205296005 2566162624 3068237920 3207703280 3528473608 4410592010 6136475840 6415406560 7056947216 8821184020 12830813120 14113894432 17642368040 28227788864 35284736080 70569472160 141138944320