Search a number
-
+
1121357017144 = 237131981069767
BaseRepresentation
bin10000010100010110000…
…101100011000000111000
310222012102022001122112201
4100110112011203000320
5121333014344022034
62215051100315544
7144005162243440
oct20242605430070
93865368048481
101121357017144
113a2623891091
121613b0242bb4
1381988662220
143c3b9ab3120
151e280921014
hex10516163038

1121357017144 has 64 divisors (see below), whose sum is σ = 2723944204800. Its totient is φ = 420265666944.

The previous prime is 1121357017141. The next prime is 1121357017147. The reversal of 1121357017144 is 4417107531211.

It is an interprime number because it is at equal distance from previous prime (1121357017141) and next prime (1121357017147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121357017141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40521052 + ... + 40548715.

It is an arithmetic number, because the mean of its divisors is an integer number (42561628200).

Almost surely, 21121357017144 is an apocalyptic number.

1121357017144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1121357017144 is an abundant number, since it is smaller than the sum of its proper divisors (1602587187656).

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

1121357017144 is a wasteful number, since it uses less digits than its factorization.

1121357017144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81069812 (or 81069808 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 1121357017144 in words is "one trillion, one hundred twenty-one billion, three hundred fifty-seven million, seventeen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1729 1976 3458 6916 13832 81069767 162139534 324279068 567488369 648558136 1053906971 1134976738 1540325573 2107813942 2269953476 3080651146 4215627884 4539906952 6161302292 7377348797 8431255768 10782279011 12322604584 14754697594 20024232449 21564558022 29509395188 40048464898 43129116044 59018790376 80096929796 86258232088 140169627143 160193859592 280339254286 560678508572 1121357017144