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11413123042032 = 2433100792621219
BaseRepresentation
bin1010011000010101001100…
…1001010000101011110000
31111102002021011112122201000
42212011103021100223300
52443443033444321112
640135041044042000
72255366554123155
oct246052311205360
944362234478630
1011413123042032
113700307465a98
121343b33993300
1364a33978480a
142b658057222c
1514bd3520b7dc
hexa6153250af0

11413123042032 has 80 divisors (see below), whose sum is σ = 32763153024000. Its totient is φ = 3803995440576.

The previous prime is 11413123042019. The next prime is 11413123042093. The reversal of 11413123042032 is 23024032131411.

11413123042032 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 1 + 230 + 420 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11413123041987 and 11413123042005.

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, 3043519 + ... + 5664737.

It is an arithmetic number, because the mean of its divisors is an integer number (409539412800).

Almost surely, 211413123042032 is an apocalyptic number.

11413123042032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11413123042032 is an abundant number, since it is smaller than the sum of its proper divisors (21350029981968).

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

11413123042032 is a wasteful number, since it uses less digits than its factorization.

11413123042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631315 (or 2631303 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11413123042032 its reverse (23024032131411), we get a palindrome (34437155173443).

The spelling of 11413123042032 in words is "eleven trillion, four hundred thirteen billion, one hundred twenty-three million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 10079 20158 30237 40316 60474 80632 90711 120948 161264 181422 241896 272133 362844 483792 544266 725688 1088532 1451376 2177064 2621219 4354128 5242438 7863657 10484876 15727314 20969752 23590971 31454628 41939504 47181942 62909256 70772913 94363884 125818512 141545826 188727768 283091652 377455536 566183304 1132366608 26419266301 52838532602 79257798903 105677065204 158515597806 211354130408 237773396709 317031195612 422708260816 475546793418 634062391224 713320190127 951093586836 1268124782448 1426640380254 1902187173672 2853280760508 3804374347344 5706561521016 11413123042032