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30249257138912 = 257315316181943
BaseRepresentation
bin1101110000010111101000…
…01110011111101011100000
310222002210121201222100202202
412320023310032133223200
512431100434311421122
6144200152240432332
76241302535202210
oct670136416375340
9128083551870682
1030249257138912
119702702070819
1234866130186a8
1313b5653632b66
14768101268240
15376cbc7a5e92
hex1b82f439fae0

30249257138912 has 96 divisors (see below), whose sum is σ = 70258518134784. Its totient is φ = 12545385753600.

The previous prime is 30249257138911. The next prime is 30249257138939. The reversal of 30249257138912 is 21983175294203.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30249257138911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369109013 + ... + 369190955.

It is an arithmetic number, because the mean of its divisors is an integer number (731859563904).

Almost surely, 230249257138912 is an apocalyptic number.

30249257138912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30249257138912 is an abundant number, since it is smaller than the sum of its proper divisors (40009260995872).

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

30249257138912 is a wasteful number, since it uses less digits than its factorization.

30249257138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135152 (or 135144 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 30249257138912 in words is "thirty trillion, two hundred forty-nine billion, two hundred fifty-seven million, one hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 53161 81943 106322 163886 212644 327772 372127 425288 573601 655544 744254 850576 1147202 1311088 1488508 1647991 1701152 2294404 2540233 2622176 2977016 3295982 4588808 5080466 5954032 6591964 9177616 10160932 11535937 11908064 13183928 17781631 18355232 20321864 23071874 26367856 35563262 40643728 46143748 52735712 71126524 81287456 92287496 142253048 184574992 284506096 369149984 569012192 4356171823 8712343646 17424687292 30493202761 34849374584 60986405522 69698749168 121972811044 135041326513 139397498336 243945622088 270082653026 487891244176 540165306052 945289285591 975782488352 1080330612104 1890578571182 2160661224208 3781157142364 4321322448416 7562314284728 15124628569456 30249257138912