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11241630144 = 263323282851
BaseRepresentation
bin10100111100000110…
…11010100111000000
31002000110002222111000
422132003122213000
5141010324131034
65055255052000
7545402164623
oct123603324700
932013088430
1011241630144
114849675128
122218971000
1310a1cc9474
1478900bdba
1545bdbd599
hex29e0da9c0

11241630144 has 112 divisors (see below), whose sum is σ = 34485315840. Its totient is φ = 3584275200.

The previous prime is 11241630131. The next prime is 11241630163. The reversal of 11241630144 is 44103614211.

11241630144 is a `hidden beast` number, since 1 + 1 + 24 + 1 + 630 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101682 + ... + 181169.

Almost surely, 211241630144 is an apocalyptic number.

It is an amenable number.

11241630144 is an abundant number, since it is smaller than the sum of its proper divisors (23243685696).

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

11241630144 is a wasteful number, since it uses less digits than its factorization.

11241630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282895 (or 282879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11241630144 in words is "eleven billion, two hundred forty-one million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 6624 9936 13248 19872 39744 282851 565702 848553 1131404 1697106 2262808 2545659 3394212 4525616 5091318 6505573 6788424 7636977 9051232 10182636 13011146 13576848 15273954 18102464 19516719 20365272 26022292 27153696 30547908 39033438 40730544 52044584 54307392 58550157 61095816 78066876 81461088 104089168 117100314 122191632 156133752 162922176 175650471 208178336 234200628 244383264 312267504 351300942 416356672 468401256 488766528 624535008 702601884 936802512 1249070016 1405203768 1873605024 2810407536 3747210048 5620815072 11241630144