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3023257813744 = 247261255124781
BaseRepresentation
bin101011111111101000001…
…101010100001011110000
3101201000120000221122000011
4223333220031110023300
5344013113000014434
610232510535104304
7431265101261200
oct53775015241360
911630500848004
103023257813744
11a6617a246453
12409b16b12094
1318c12713917c
14a647db36400
15539964cce64
hex2bfe83542f0

3023257813744 has 120 divisors (see below), whose sum is σ = 6928596365856. Its totient is φ = 1273890240000.

The previous prime is 3023257813733. The next prime is 3023257813831. The reversal of 3023257813744 is 4473187523203.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 121986634 + ... + 122011414.

Almost surely, 23023257813744 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 3023257813744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464298182928).

3023257813744 is an abundant number, since it is smaller than the sum of its proper divisors (3905338552112).

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

3023257813744 is a wasteful number, since it uses less digits than its factorization.

3023257813744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27415 (or 27402 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 3023257813744 in words is "three trillion, twenty-three billion, two hundred fifty-seven million, eight hundred thirteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 392 427 488 784 854 976 1708 2551 2989 3416 5102 5978 6832 10204 11956 17857 20408 23912 24781 35714 40816 47824 49562 71428 99124 124999 142856 155611 173467 198248 249998 285712 311222 346934 396496 499996 622444 693868 999992 1089277 1214269 1244888 1387736 1511641 1999984 2178554 2428538 2489776 2775472 3023282 4357108 4857076 6046564 7624939 8714216 9714152 10581487 12093128 15249878 17428432 19428304 21162974 24186256 30499756 42325948 60999512 63216331 74070409 84651896 121999024 126432662 148140818 169303792 252865324 296281636 442514317 505730648 592563272 885028634 1011461296 1185126544 1770057268 3097600219 3540114536 3856196191 6195200438 7080229072 7712392382 12390400876 15424784764 24780801752 26993373337 30849569528 49561603504 53986746674 61699139056 107973493348 188953613359 215946986696 377907226718 431893973392 755814453436 1511628906872 3023257813744