Search a number
-
+
1114975253088 = 253331411636229
BaseRepresentation
bin10000001110011001101…
…101000011001001100000
310221120221112122110001000
4100032121231003021200
5121231432131044323
62212113525112000
7143361061164354
oct20163155031140
93846845573030
101114975253088
1139a949510314
1216010ab58600
13811ac46b388
143bd722c9464
151e00a527e43
hex10399b43260

1114975253088 has 384 divisors, whose sum is σ = 3460443033600. Its totient is φ = 348688281600.

The previous prime is 1114975253059. The next prime is 1114975253143. The reversal of 1114975253088 is 8803525794111.

1114975253088 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 9 + 7 + 525 + 30 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178994358 + ... + 179000586.

It is an arithmetic number, because the mean of its divisors is an integer number (9011570400).

Almost surely, 21114975253088 is an apocalyptic number.

1114975253088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114975253088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730221516800).

1114975253088 is an abundant number, since it is smaller than the sum of its proper divisors (2345467780512).

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

1114975253088 is a wasteful number, since it uses less digits than its factorization.

1114975253088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1114975253088 in words is "one trillion, one hundred fourteen billion, nine hundred seventy-five million, two hundred fifty-three thousand, eighty-eight".