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13023404544 = 29331479571
BaseRepresentation
bin11000010000100000…
…10110001000000000
31020121121211111110110
430020100112020000
5203132442421134
65552144431320
7640506053313
oct141020261000
936547744413
1013023404544
115583410657
122635618540
1312c71a7947
148b78dc97a
155135267e9
hex308416200

13023404544 has 160 divisors (see below), whose sum is σ = 35951984640. Its totient is φ = 4184985600.

The previous prime is 13023404519. The next prime is 13023404561. The reversal of 13023404544 is 44540432031.

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, 22807779 + ... + 22808349.

It is an arithmetic number, because the mean of its divisors is an integer number (224699904).

Almost surely, 213023404544 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 13023404544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975992320).

13023404544 is an abundant number, since it is smaller than the sum of its proper divisors (22928580096).

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

13023404544 is an equidigital number, since it uses as much as digits as its factorization.

13023404544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 13023404544 its reverse (44540432031), we get a palindrome (57563836575).

The spelling of 13023404544 in words is "thirteen billion, twenty-three million, four hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 479 496 512 571 744 768 958 992 1142 1437 1488 1536 1713 1916 1984 2284 2874 2976 3426 3832 3968 4568 5748 5952 6852 7664 7936 9136 11496 11904 13704 14849 15328 15872 17701 18272 22992 23808 27408 29698 30656 35402 36544 44547 45984 47616 53103 54816 59396 61312 70804 73088 89094 91968 106206 109632 118792 122624 141608 146176 178188 183936 212412 219264 237584 245248 273509 283216 292352 356376 367872 424824 438528 475168 547018 566432 712752 735744 820527 849648 877056 950336 1094036 1132864 1425504 1641054 1699296 1900672 2188072 2265728 2851008 3282108 3398592 3801344 4376144 4531456 5702016 6564216 6797184 7602688 8478779 8752288 9062912 11404032 13128432 13594368 16957558 17504576 22808064 25436337 26256864 27188736 33915116 35009152 50872674 52513728 67830232 70018304 101745348 105027456 135660464 140036608 203490696 210054912 271320928 406981392 420109824 542641856 813962784 1085283712 1627925568 2170567424 3255851136 4341134848 6511702272 13023404544