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314232141230010 = 232510347143719041
BaseRepresentation
bin100011101110010101101111…
…1001001111010111110111010
31112012121022002012112212212100
41013130223133021322332322
5312141334411123330020
63032152130335324230
7123121344252060453
oct10734533711727672
91465538065485770
10314232141230010
1191140114789113
122b2b0364380676
1310644c6b535513
145784cb993012a
15264dd747b8a90
hex11dcadf27afba

314232141230010 has 96 divisors (see below), whose sum is σ = 824954286544128. Its totient is φ = 82979816048640.

The previous prime is 314232141229991. The next prime is 314232141230017. The reversal of 314232141230010 is 10032141232413.

314232141230010 is a `hidden beast` number, since 3 + 1 + 4 + 232 + 1 + 412 + 3 + 0 + 0 + 10 = 666.

It is not an unprimeable number, because it can be changed into a prime (314232141230017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436656090 + ... + 437375130.

It is an arithmetic number, because the mean of its divisors is an integer number (8593273818168).

Almost surely, 2314232141230010 is an apocalyptic number.

314232141230010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314232141230010 is an abundant number, since it is smaller than the sum of its proper divisors (510722145314118).

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

314232141230010 is a wasteful number, since it uses less digits than its factorization.

314232141230010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766300 (or 766297 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 314232141230010 its reverse (10032141232413), we get a palindrome (324264282462423).

The spelling of 314232141230010 in words is "three hundred fourteen trillion, two hundred thirty-two billion, one hundred forty-one million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 47143 94286 141429 235715 282858 424287 471430 707145 719041 848574 1414290 1438082 2121435 2157123 3595205 4242870 4314246 4855729 6471369 7190410 9711458 10785615 12942738 14567187 21571230 24278645 29134374 32356845 43701561 48557290 64713690 72835935 74061223 87403122 145671870 148122446 218507805 222183669 370306115 437015610 444367338 666551007 740612230 1110918345 1333102014 2221836690 3332755035 6665510070 33897749863 67795499726 101693249589 169488749315 203386499178 305079748767 338977498630 508466247945 610159497534 1016932495890 1525398743835 3050797487670 3491468235889 6982936471778 10474404707667 17457341179445 20948809415334 31423214123001 34914682358890 52372023538335 62846428246002 104744047076670 157116070615005 314232141230010