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14023618048 = 291137173389
BaseRepresentation
bin11010000111101111…
…10110111000000000
31100012022220121110001
431003313312320000
5212210021234143
610235314445344
71004342533546
oct150367667000
940168817401
1014023618048
115a46a6a890
122874593854
13142648b05b
149706a3d96
1557124b14d
hex343df6e00

14023618048 has 160 divisors (see below), whose sum is σ = 31655875680. Its totient is φ = 6150389760.

The previous prime is 14023618033. The next prime is 14023618067. The reversal of 14023618048 is 84081632041.

14023618048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 14023617998 and 14023618016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36050238 + ... + 36050626.

It is an arithmetic number, because the mean of its divisors is an integer number (197849223).

Almost surely, 214023618048 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 14023618048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827937840).

14023618048 is an abundant number, since it is smaller than the sum of its proper divisors (17632257632).

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

14023618048 is a wasteful number, since it uses less digits than its factorization.

14023618048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 14023618048 in words is "fourteen billion, twenty-three million, six hundred eighteen thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 173 176 256 296 346 352 389 407 512 592 692 704 778 814 1184 1384 1408 1556 1628 1903 2368 2768 2816 3112 3256 3806 4279 4736 5536 5632 6224 6401 6512 7612 8558 9472 11072 12448 12802 13024 14393 15224 17116 18944 22144 24896 25604 26048 28786 30448 34232 44288 49792 51208 52096 57572 60896 67297 68464 70411 88576 99584 102416 104192 115144 121792 134594 136928 140822 158323 199168 204832 208384 230288 243584 269188 273856 281644 316646 409664 460576 487168 538376 547712 563288 633292 740267 819328 921152 974336 1076752 1095424 1126576 1266584 1480534 1638656 1842304 2153504 2190848 2253152 2489989 2533168 2961068 3277312 3684608 4307008 4506304 4979978 5066336 5922136 7369216 8614016 9012608 9959956 10132672 11844272 17228032 18025216 19919912 20265344 23688544 27389879 34456064 36050432 39839824 40530688 47377088 54779758 79679648 81061376 94754176 109559516 159359296 189508352 219119032 318718592 379016704 438238064 637437184 876476128 1274874368 1752952256 3505904512 7011809024 14023618048