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1134002431104 = 27331475120051
BaseRepresentation
bin10000100000000111110…
…011111110010010000000
311000102001120122020101220
4100200013303332102000
5122034414110243404
62224541543355040
7144633431423514
oct20400763762200
94012046566356
101134002431104
113a7a22899824
1216393b152a80
1382c224334aa
143cc592da144
151e770b804d9
hex10807cfe480

1134002431104 has 128 divisors (see below), whose sum is σ = 3110171074560. Its totient is φ = 365712000000.

The previous prime is 1134002431099. The next prime is 1134002431141. The reversal of 1134002431104 is 4011342004311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 56545879 + ... + 56565929.

It is an arithmetic number, because the mean of its divisors is an integer number (24298211520).

Almost surely, 21134002431104 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 1134002431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555085537280).

1134002431104 is an abundant number, since it is smaller than the sum of its proper divisors (1976168643456).

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

1134002431104 is a wasteful number, since it uses less digits than its factorization.

1134002431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24850 (or 24838 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1134002431104 its reverse (4011342004311), we get a palindrome (5145344435415).

The spelling of 1134002431104 in words is "one trillion, one hundred thirty-four billion, two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 4751 5952 9502 11904 14253 19004 20051 28506 38008 40102 57012 60153 76016 80204 114024 120306 147281 152032 160408 228048 240612 294562 304064 320816 441843 456096 481224 589124 608128 621581 641632 883686 912192 962448 1178248 1243162 1283264 1767372 1824384 1864743 1924896 2356496 2486324 2566528 3534744 3729486 3849792 4712992 4972648 7069488 7458972 7699584 9425984 9945296 14138976 14917944 18851968 19890592 28277952 29835888 39781184 56555904 59671776 79562368 95262301 119343552 190524602 238687104 285786903 381049204 571573806 762098408 1143147612 1524196816 2286295224 2953131331 3048393632 4572590448 5906262662 6096787264 8859393993 9145180896 11812525324 12193574528 17718787986 18290361792 23625050648 35437575972 36580723584 47250101296 70875151944 94500202592 141750303888 189000405184 283500607776 378000810368 567001215552 1134002431104