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148013364312 = 23331171877397
BaseRepresentation
bin1000100111011001001…
…0001011010001011000
3112011001022020222001000
42021312102023101120
54411112410124222
6151555120025000
713456623560322
oct2116622132130
9464038228030
10148013364312
115785475a380
1224829462160
1310c5ab04098
1472419b4612
153cb44ab9ac
hex227648b458

148013364312 has 128 divisors (see below), whose sum is σ = 454843123200. Its totient is φ = 44220758400.

The previous prime is 148013364269. The next prime is 148013364361. The reversal of 148013364312 is 213463310841.

148013364312 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 1 + 3 + 3 + 643 + 1 + 2 = 666.

It is a super-3 number, since 3×1480133643123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270003 + ... + 607394.

It is an arithmetic number, because the mean of its divisors is an integer number (3553461900).

Almost surely, 2148013364312 is an apocalyptic number.

148013364312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148013364312 is an abundant number, since it is smaller than the sum of its proper divisors (306829758888).

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

148013364312 is a wasteful number, since it uses less digits than its factorization.

148013364312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877494 (or 877484 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 148013364312 in words is "one hundred forty-eight billion, thirteen million, three hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 71 72 88 99 108 132 142 198 213 216 264 284 297 396 426 568 594 639 781 792 852 1188 1278 1562 1704 1917 2343 2376 2556 3124 3834 4686 5112 6248 7029 7668 9372 14058 15336 18744 21087 28116 42174 56232 84348 168696 877397 1754794 2632191 3509588 5264382 7019176 7896573 9651367 10528764 15793146 19302734 21057528 23689719 28954101 31586292 38605468 47379438 57908202 62295187 63172584 77210936 86862303 94758876 115816404 124590374 173724606 186885561 189517752 231632808 249180748 260586909 347449212 373771122 498361496 521173818 560656683 685247057 694898424 747542244 1042347636 1121313366 1370494114 1495084488 1681970049 2055741171 2084695272 2242626732 2740988228 3363940098 4111482342 4485253464 5481976456 6167223513 6727880196 8222964684 12334447026 13455760392 16445929368 18501670539 24668894052 37003341078 49337788104 74006682156 148013364312