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30983443024 = 24173137472113
BaseRepresentation
bin11100110110110000…
…011101001001010000
32221222021210222120211
4130312300131021100
51001423230134044
622122242413504
72144540630452
oct346660351120
987867728524
1030983443024
111215a389366
126008361294
132bca056051
1416dccc62d2
15c15139634
hex736c1d250

30983443024 has 160 divisors (see below), whose sum is σ = 68851593216. Its totient is φ = 13430292480.

The previous prime is 30983443019. The next prime is 30983443027. The reversal of 30983443024 is 42034438903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30983443027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14662192 + ... + 14664304.

Almost surely, 230983443024 is an apocalyptic number.

30983443024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30983443024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34425796608).

30983443024 is an abundant number, since it is smaller than the sum of its proper divisors (37868150192).

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

30983443024 is a wasteful number, since it uses less digits than its factorization.

30983443024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 30983443024 in words is "thirty billion, nine hundred eighty-three million, four hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 31 34 37 47 62 68 74 94 124 136 148 188 248 272 296 376 496 527 592 629 752 799 1054 1147 1258 1457 1598 1739 2108 2113 2294 2516 2914 3196 3478 4216 4226 4588 5032 5828 6392 6956 8432 8452 9176 10064 11656 12784 13912 16904 18352 19499 23312 24769 27824 29563 33808 35921 38998 49538 53909 59126 65503 71842 77996 78181 99076 99311 107818 118252 131006 143684 155992 156362 198152 198622 215636 236504 262012 287368 311984 312724 396304 397244 431272 473008 524024 574736 625448 794488 862544 916453 1048048 1113551 1250896 1329077 1588976 1688287 1832906 2227102 2423611 2658154 3078641 3376574 3665812 3674507 4454204 4847222 5316308 6157282 6753148 7331624 7349014 8908408 9694444 10632616 12314564 13506296 14663248 14698028 17816816 19388888 21265232 24629128 27012592 29396056 38777776 41201387 49258256 52336897 58792112 62466619 82402774 104673794 113909717 124933238 164805548 209347588 227819434 249866476 329611096 418695176 455638868 499732952 659222192 837390352 911277736 999465904 1822555472 1936465189 3872930378 7745860756 15491721512 30983443024