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11413254024 = 2333471139949
BaseRepresentation
bin10101010000100100…
…00110111110001000
31002110102001101012000
422220102012332020
5141333243112044
65124305351000
7552555026034
oct125022067610
932412041160
1011413254024
114927536747
122266338460
1310cb729963
147a3b251c4
1546bebed69
hex2a8486f88

11413254024 has 128 divisors (see below), whose sum is σ = 32667840000. Its totient is φ = 3690150912.

The previous prime is 11413253993. The next prime is 11413254031. The reversal of 11413254024 is 42045231411.

11413254024 is a `hidden beast` number, since 114 + 1 + 3 + 2 + 540 + 2 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1142202 + ... + 1152150.

It is an arithmetic number, because the mean of its divisors is an integer number (255217500).

Almost surely, 211413254024 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 11413254024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333920000).

11413254024 is an abundant number, since it is smaller than the sum of its proper divisors (21254585976).

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

11413254024 is a wasteful number, since it uses less digits than its factorization.

11413254024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10124 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11413254024 its reverse (42045231411), we get a palindrome (53458485435).

The spelling of 11413254024 in words is "eleven billion, four hundred thirteen million, two hundred fifty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 113 141 188 216 226 282 339 376 423 452 564 678 846 904 1017 1128 1269 1356 1692 2034 2538 2712 3051 3384 4068 5076 5311 6102 8136 9949 10152 10622 12204 15933 19898 21244 24408 29847 31866 39796 42488 47799 59694 63732 79592 89541 95598 119388 127464 143397 179082 191196 238776 268623 286794 358164 382392 467603 537246 573588 716328 935206 1074492 1124237 1147176 1402809 1870412 2148984 2248474 2805618 3372711 3740824 4208427 4496948 5611236 6745422 8416854 8993896 10118133 11222472 12625281 13490844 16833708 20236266 25250562 26981688 30354399 33667416 40472532 50501124 52839139 60708798 80945064 101002248 105678278 121417596 158517417 211356556 242835192 317034834 422713112 475552251 634069668 951104502 1268139336 1426656753 1902209004 2853313506 3804418008 5706627012 11413254024