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12830212407144 = 2331155343878147
BaseRepresentation
bin1011101010110100010001…
…0000001011111101101000
31200102120000120012010222110
42322231010100023331220
53140202233334012034
643142041311122320
72462644424024136
oct272550420137550
950376016163873
1012830212407144
1140a729846a220
1215326b82133a0
13720b64a40a42
14324db2680756
15173b237e6de9
hexbab4440bf68

12830212407144 has 64 divisors (see below), whose sum is σ = 34992160496640. Its totient is φ = 3887868474560.

The previous prime is 12830212407143. The next prime is 12830212407151. The reversal of 12830212407144 is 44170421203821.

It is a super-2 number, since 2×128302124071442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12830212407143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14171479 + ... + 15049625.

It is an arithmetic number, because the mean of its divisors is an integer number (546752507760).

Almost surely, 212830212407144 is an apocalyptic number.

It is an amenable number.

12830212407144 is an abundant number, since it is smaller than the sum of its proper divisors (22161948089496).

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

12830212407144 is a wasteful number, since it uses less digits than its factorization.

12830212407144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933510 (or 933506 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 12830212407144 in words is "twelve trillion, eight hundred thirty billion, two hundred twelve million, four hundred seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 55343 110686 166029 221372 332058 442744 608773 664116 878147 1217546 1328232 1756294 1826319 2435092 2634441 3512588 3652638 4870184 5268882 7025176 7305276 9659617 10537764 14610552 19319234 21075528 28978851 38638468 57957702 77276936 115915404 231830808 48599289421 97198578842 145797868263 194397157684 291595736526 388794315368 534592183631 583191473052 1069184367262 1166382946104 1603776550893 2138368734524 3207553101786 4276737469048 6415106203572 12830212407144