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11424040144 = 24113112716487
BaseRepresentation
bin10101010001110110…
…10000010011010000
31002111011100100221221
422220323100103100
5141344023241034
65125332454424
7553045511326
oct125073202320
932434310857
1011424040144
1149326334a0
122269a7a414
131100a3528a
147a5331d16
1546ce00bb4
hex2a8ed04d0

11424040144 has 80 divisors (see below), whose sum is σ = 25122963456. Its totient is φ = 4985366400.

The previous prime is 11424040091. The next prime is 11424040153. The reversal of 11424040144 is 44104042411.

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, 684669 + ... + 701155.

Almost surely, 211424040144 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 11424040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561481728).

11424040144 is an abundant number, since it is smaller than the sum of its proper divisors (13698923312).

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

11424040144 is a wasteful number, since it uses less digits than its factorization.

11424040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16664 (or 16658 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 11424040144 its reverse (44104042411), we get a palindrome (55528082555).

The spelling of 11424040144 in words is "eleven billion, four hundred twenty-four million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 127 176 248 254 341 496 508 682 1016 1364 1397 2032 2728 2794 3937 5456 5588 7874 11176 15748 16487 22352 31496 32974 43307 62992 65948 86614 131896 173228 181357 263792 346456 362714 511097 692912 725428 1022194 1450856 2044388 2093849 2901712 4088776 4187698 5622067 8177552 8375396 11244134 16750792 22488268 23032339 33501584 44976536 46064678 64909319 89953072 92129356 129818638 184258712 259637276 368517424 519274552 714002509 1038549104 1428005018 2856010036 5712020072 11424040144