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111045425344 = 267378577817
BaseRepresentation
bin110011101101011010…
…0101011100011000000
3101121121221120002100021
41213122310223203000
53304410112102334
6123002532503224
711010544353520
oct1473264534300
9347557502307
10111045425344
114310427a6a7
1219630a7ab14
13a618c80199
145535d97680
152d4dc9d3b4
hex19dad2b8c0

111045425344 has 112 divisors (see below), whose sum is σ = 258976441152. Its totient is φ = 46244708352.

The previous prime is 111045425321. The next prime is 111045425347. The reversal of 111045425344 is 443524540111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (111045425347) 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, 14201724 + ... + 14209540.

Almost surely, 2111045425344 is an apocalyptic number.

111045425344 is a gapful number since it is divisible by the number (14) 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 111045425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129488220576).

111045425344 is an abundant number, since it is smaller than the sum of its proper divisors (147931015808).

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

111045425344 is an equidigital number, since it uses as much as digits as its factorization.

111045425344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 111045425344 its reverse (443524540111), we get a palindrome (554569965455).

The spelling of 111045425344 in words is "one hundred eleven billion, forty-five million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 857 1036 1184 1714 2072 2368 3428 4144 5999 6856 7817 8288 11998 13712 15634 16576 23996 27424 31268 31709 47992 54719 54848 62536 63418 95984 109438 125072 126836 191968 218876 221963 250144 253672 289229 383936 437752 443926 500288 507344 578458 875504 887852 1014688 1156916 1751008 1775704 2024603 2029376 2313832 3502016 3551408 4049206 4627664 6699169 7102816 8098412 9255328 13398338 14205632 16196824 18510656 26796676 32393648 46894183 53593352 64787296 93788366 107186704 129574592 187576732 214373408 247869253 375153464 428746816 495738506 750306928 991477012 1500613856 1735084771 1982954024 3001227712 3470169542 3965908048 6940339084 7931816096 13880678168 15863632192 27761356336 55522712672 111045425344