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13120140401344 = 261074314639601
BaseRepresentation
bin1011111011101100010101…
…0011101101101011000000
31201110021101010212021012201
42332323011103231223000
53204430021420320334
643523150450202544
72522620211225224
oct276730523555300
951407333767181
1013120140401344
1141a9247240489
12157a930583454
137422bac906b2
14335037c78784
1517b441b22c14
hexbeec54edac0

13120140401344 has 112 divisors (see below), whose sum is σ = 26399208462336. Its totient is φ = 6469005312000.

The previous prime is 13120140401339. The next prime is 13120140401353. The reversal of 13120140401344 is 44310404102131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366534144 + ... + 1366543744.

Almost surely, 213120140401344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120140401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199604231168).

13120140401344 is an abundant number, since it is smaller than the sum of its proper divisors (13279068060992).

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

13120140401344 is a wasteful number, since it uses less digits than its factorization.

13120140401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10614 (or 10604 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13120140401344 its reverse (44310404102131), we get a palindrome (57430544503475).

The spelling of 13120140401344 in words is "thirteen trillion, one hundred twenty billion, one hundred forty million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 107 214 428 431 463 856 862 926 1712 1724 1852 3424 3448 3704 6848 6896 7408 9601 13792 14816 19202 27584 29632 38404 46117 49541 76808 92234 99082 153616 184468 198164 199553 307232 368936 396328 399106 614464 737872 792656 798212 1027307 1475744 1585312 1596424 2054614 2951488 3170624 3192848 4109228 4138031 4445263 6385696 8218456 8276062 8890526 12771392 16436912 16552124 17781052 21352171 32873824 33104248 35562104 42704342 65747648 66208496 71124208 85408684 132416992 142248416 170817368 264833984 284496832 341634736 442769317 475643141 683269472 885538634 951286282 1366538944 1771077268 1902572564 1915908353 3542154536 3805145128 3831816706 7084309072 7610290256 7663633412 14168618144 15220580512 15327266824 28337236288 30441161024 30654533648 61309067296 122618134592 205002193771 410004387542 820008775084 1640017550168 3280035100336 6560070200672 13120140401344