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1014242420412 = 2232134408749157
BaseRepresentation
bin11101100001001011000…
…11110010011010111100
310120221221022001100100100
432300211203302122330
5113104132024423122
62053534143001100
7133163605220424
oct16604543623274
93527838040310
101014242420412
11361157450181
12144697899190
1374847b95140
1437137bc5484
151b5b1cd2aac
hexec258f26bc

1014242420412 has 72 divisors (see below), whose sum is σ = 2761112049696. Its totient is φ = 312061163904.

The previous prime is 1014242420393. The next prime is 1014242420431. The reversal of 1014242420412 is 2140242424101.

1014242420412 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 4 + 242 + 0 + 412 = 666.

It is an interprime number because it is at equal distance from previous prime (1014242420393) and next prime (1014242420431).

It is a congruent number.

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, 20608138 + ... + 20657294.

It is an arithmetic number, because the mean of its divisors is an integer number (38348778468).

Almost surely, 21014242420412 is an apocalyptic number.

1014242420412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1014242420412 is an abundant number, since it is smaller than the sum of its proper divisors (1746869629284).

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

1014242420412 is a wasteful number, since it uses less digits than its factorization.

1014242420412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93267 (or 93262 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1014242420412 its reverse (2140242424101), we get a palindrome (3154484844513).

The spelling of 1014242420412 in words is "one trillion, fourteen billion, two hundred forty-two million, four hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 44087 49157 88174 98314 132261 147471 176348 196628 264522 294942 396783 442413 529044 573131 589884 639041 793566 884826 1146262 1278082 1587132 1719393 1769652 1917123 2292524 2556164 3438786 3834246 5158179 5751369 6877572 7668492 10316358 11502738 20632716 23005476 2167184659 4334369318 6501553977 8668738636 13003107954 19504661931 26006215908 28173400567 39009323862 56346801134 78018647724 84520201701 112693602268 169040403402 253560605103 338080806804 507121210206 1014242420412