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151231409189640 = 23345133590489297
BaseRepresentation
bin100010011000101101001110…
…011011000111001100001000
3201211110120200221010001120000
4202120231032123013030020
5124310233411223032030
61253350430020403000
743566052205154033
oct4230551633071410
9654416627101500
10151231409189640
114420697599041a
1214b657b0b46460
1366500a3464220
14294b8d41b401a
151273d21801860
hex898b4e6c7308

151231409189640 has 160 divisors (see below), whose sum is σ = 547405998373080. Its totient is φ = 37226193020928.

The previous prime is 151231409189629. The next prime is 151231409189741. The reversal of 151231409189640 is 46981904132151.

151231409189640 is a `hidden beast` number, since 1 + 5 + 12 + 3 + 1 + 409 + 189 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54433319875236 + 96798089314404 = 7377894^2 + 9838602^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1795202529 + ... + 1795286768.

Almost surely, 2151231409189640 is an apocalyptic number.

151231409189640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151231409189640 is an abundant number, since it is smaller than the sum of its proper divisors (396174589183440).

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

151231409189640 is a wasteful number, since it uses less digits than its factorization.

151231409189640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590489333 (or 3590489320 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 151231409189640 in words is "one hundred fifty-one trillion, two hundred thirty-one billion, four hundred nine million, one hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 3590489297 7180978594 10771467891 14361957188 17952446485 21542935782 28723914376 32314403673 35904892970 43085871564 46676360861 53857339455 64628807346 71809785940 86171743128 93352721722 96943211019 107714678910 129257614692 140029082583 143619571880 161572018365 186705443444 193886422038 215429357820 233381804305 258515229384 280058165166 290829633057 323144036730 373410886888 387772844076 420087247749 430858715640 466763608610 484716055095 560116330332 581659266114 646288073460 700145412915 775545688152 840174495498 933527217220 969432110190 1120232660664 1163318532228 1260261743247 1292576146920 1400290825830 1454148165285 1680348990996 1867054434440 1938864220380 2100436238745 2326637064456 2520523486494 2800581651660 2908296330570 3360697981992 3780785229741 3877728440760 4200872477490 5041046972988 5601163303320 5816592661140 6301308716235 7561570459482 8401744954980 10082093945976 11633185322280 12602617432470 15123140918964 16803489909960 18903926148705 25205234864940 30246281837928 37807852297410 50410469729880 75615704594820 151231409189640