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11042430624 = 253418123537
BaseRepresentation
bin10100100100010111…
…00001111010100000
31001111120021121010000
422102023201322200
5140103330234444
65023421340000
7540433053201
oct122213417240
931446247100
1011042430624
114757189625
122182107600
13106c962624
1476a7975a8
15449671469
hex2922e1ea0

11042430624 has 120 divisors (see below), whose sum is σ = 32656291668. Its totient is φ = 3660318720.

The previous prime is 11042430593. The next prime is 11042430647. The reversal of 11042430624 is 42603424011.

It is a happy number.

11042430624 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 2 + 4 + 30 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9135536400 + 1906894224 = 95580^2 + 43668^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 457384 + ... + 480920.

Almost surely, 211042430624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11042430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16328145834).

11042430624 is an abundant number, since it is smaller than the sum of its proper divisors (21613861044).

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

11042430624 is a wasteful number, since it uses less digits than its factorization.

11042430624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23740 (or 23723 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11042430624 its reverse (42603424011), we get a palindrome (53645854635).

The spelling of 11042430624 in words is "eleven billion, forty-two million, four hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 181 216 288 324 362 432 543 648 724 864 1086 1296 1448 1629 2172 2592 2896 3258 4344 4887 5792 6516 8688 9774 13032 14661 17376 19548 23537 26064 29322 39096 47074 52128 58644 70611 78192 94148 117288 141222 156384 188296 211833 234576 282444 376592 423666 469152 564888 635499 753184 847332 1129776 1270998 1694664 1906497 2259552 2541996 3389328 3812994 4260197 5083992 6778656 7625988 8520394 10167984 12780591 15251976 17040788 20335968 25561182 30503952 34081576 38341773 51122364 61007904 68163152 76683546 102244728 115025319 136326304 153367092 204489456 230050638 306734184 345075957 408978912 460101276 613468368 690151914 920202552 1226936736 1380303828 1840405104 2760607656 3680810208 5521215312 11042430624