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314232222143340 = 2232513660312779621
BaseRepresentation
bin100011101110010101110001…
…1111110100101001101101100
31112012121022021211210201002100
41013130223203332211031230
5312141340042332041330
63032152142345455100
7123121346253606414
oct10734534376451554
91465538254721070
10314232222143340
1191140156423536
122b2b03874a1490
1310644c82225527
145784cc6593644
15264dd7b94d060
hex11dcae3fa536c

314232222143340 has 72 divisors (see below), whose sum is σ = 953178126093648. Its totient is φ = 83794639259520.

The previous prime is 314232222143339. The next prime is 314232222143353. The reversal of 314232222143340 is 43341222232413.

314232222143340 is a `hidden beast` number, since 3 + 1 + 4 + 232 + 22 + 21 + 43 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314232222143295 and 314232222143304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18198730 + ... + 30978350.

It is an arithmetic number, because the mean of its divisors is an integer number (13238585084634).

Almost surely, 2314232222143340 is an apocalyptic number.

314232222143340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314232222143340 is an abundant number, since it is smaller than the sum of its proper divisors (638945903950308).

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

314232222143340 is a wasteful number, since it uses less digits than its factorization.

314232222143340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12916239 (or 12916234 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 314232222143340 its reverse (43341222232413), we get a palindrome (357573444375753).

The spelling of 314232222143340 in words is "three hundred fourteen trillion, two hundred thirty-two billion, two hundred twenty-two million, one hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 136603 273206 409809 546412 683015 819618 1229427 1366030 1639236 2049045 2458854 2732060 4098090 4917708 6147135 8196180 12294270 12779621 24588540 25559242 38338863 51118484 63898105 76677726 115016589 127796210 153355452 191694315 230033178 255592420 383388630 460066356 575082945 766777260 1150165890 2300331780 1745734567463 3491469134926 5237203702389 6982938269852 8728672837315 10474407404778 15711611107167 17457345674630 20948814809556 26186018511945 31423222214334 34914691349260 52372037023890 62846444428668 78558055535835 104744074047780 157116111071670 314232222143340