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232414002040 = 2351111340111657
BaseRepresentation
bin1101100001110011110…
…1000011101101111000
3211012220022221121010111
43120130331003231320
512301440441031130
6254434114354104
722535302264453
oct3303475035570
9735808847114
10232414002040
118a625710740
1239062b8b934
1318bbb86323c
14b36ad9249a
1560a3e8d02a
hex361cf43b78

232414002040 has 128 divisors (see below), whose sum is σ = 577003849920. Its totient is φ = 83550208000.

The previous prime is 232414002031. The next prime is 232414002071. The reversal of 232414002040 is 40200414232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 19931892 + ... + 19943548.

Almost surely, 2232414002040 is an apocalyptic number.

232414002040 is a gapful number since it is divisible by the number (20) 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 232414002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288501924960).

232414002040 is an abundant number, since it is smaller than the sum of its proper divisors (344589847880).

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

232414002040 is a wasteful number, since it uses less digits than its factorization.

232414002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12193 (or 12189 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 232414002040 its reverse (40200414232), we get a palindrome (272614416272).

The spelling of 232414002040 in words is "two hundred thirty-two billion, four hundred fourteen million, two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 113 220 226 401 440 452 565 802 904 1130 1243 1604 2005 2260 2486 3208 4010 4411 4520 4972 6215 8020 8822 9944 11657 12430 16040 17644 22055 23314 24860 35288 44110 45313 46628 49720 58285 88220 90626 93256 116570 128227 176440 181252 226565 233140 256454 362504 453130 466280 498443 512908 641135 906260 996886 1025816 1282270 1317241 1812520 1993772 2492215 2564540 2634482 3987544 4674457 4984430 5129080 5268964 6586205 9348914 9968860 10537928 13172410 14489651 18697828 19937720 23372285 26344820 28979302 37395656 46744570 51419027 52689640 57958604 72448255 93489140 102838054 115917208 144896510 186978280 205676108 257095135 289793020 411352216 514190270 528213641 579586040 1028380540 1056427282 2056761080 2112854564 2641068205 4225709128 5282136410 5810350051 10564272820 11620700102 21128545640 23241400204 29051750255 46482800408 58103500510 116207001020 232414002040