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146912281344 = 2832292198759
BaseRepresentation
bin1000100011010010100…
…1111000001100000000
3112001012120101011011100
42020310221320030000
54401334021000334
6151253544014400
713420423534023
oct2106451701400
9461176334140
10146912281344
115733a175454
1224580761400
1310b139644ba
1471796731ba
153c4c9aec99
hex2234a78300

146912281344 has 108 divisors (see below), whose sum is σ = 438190880400. Its totient is φ = 47282092032.

The previous prime is 146912281309. The next prime is 146912281367. The reversal of 146912281344 is 443182219641.

146912281344 is a `hidden beast` number, since 14 + 6 + 9 + 12 + 281 + 344 = 666.

It is a super-2 number, since 2×1469122813442 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 146912281344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032564 + ... + 1166195.

Almost surely, 2146912281344 is an apocalyptic number.

It is an amenable number.

146912281344 is an abundant number, since it is smaller than the sum of its proper divisors (291278599056).

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

146912281344 is a wasteful number, since it uses less digits than its factorization.

146912281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198810 (or 2198793 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 146912281344 in words is "one hundred forty-six billion, nine hundred twelve million, two hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 16704 22272 33408 66816 2198759 4397518 6596277 8795036 13192554 17590072 19788831 26385108 35180144 39577662 52770216 63764011 70360288 79155324 105540432 127528022 140720576 158310648 191292033 211080864 255056044 281441152 316621296 382584066 422161728 510112088 562882304 573876099 633242592 765168132 844323456 1020224176 1147752198 1266485184 1530336264 1688646912 2040448352 2295504396 2532970368 3060672528 4080896704 4591008792 5065940736 6121345056 8161793408 9182017584 12242690112 16323586816 18364035168 24485380224 36728070336 48970760448 73456140672 146912281344