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1125401044032 = 26324121162297
BaseRepresentation
bin10000011000000111001…
…000010010010001000000
310222120212010121111112100
4100120013020102101000
5121414310131402112
62221000242030400
7144210326016336
oct20300710222100
93876763544470
101125401044032
113a4309606371
1216213a648400
138218142a345
143c680c07b56
151e41a9912dc
hex10607212440

1125401044032 has 126 divisors (see below), whose sum is σ = 3306357738554. Its totient is φ = 365983764480.

The previous prime is 1125401044003. The next prime is 1125401044063. The reversal of 1125401044032 is 2304401045211.

1125401044032 is a `hidden beast` number, since 1 + 1 + 254 + 0 + 1 + 0 + 4 + 403 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1071645696 + 1124329398336 = 32736^2 + 1060344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1125401043987 and 1125401044005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387108 + ... + 1549404.

Almost surely, 21125401044032 is an apocalyptic number.

1125401044032 is a gapful number since it is divisible by the number (12) 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 1125401044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653178869277).

1125401044032 is an abundant number, since it is smaller than the sum of its proper divisors (2180956694522).

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

1125401044032 is a wasteful number, since it uses less digits than its factorization.

1125401044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162397 (or 1162343 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1125401044032 its reverse (2304401045211), we get a palindrome (3429802089243).

The spelling of 1125401044032 in words is "one trillion, one hundred twenty-five billion, four hundred one million, forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1681 1968 2624 2952 3362 3936 5043 5904 6724 7872 10086 11808 13448 15129 20172 23616 26896 30258 40344 53792 60516 80688 107584 121032 161376 242064 322752 484128 968256 1162297 2324594 3486891 4649188 6973782 9298376 10460673 13947564 18596752 20921346 27895128 37193504 41842692 47654177 55790256 74387008 83685384 95308354 111580512 142962531 167370768 190616708 223161024 285925062 334741536 381233416 428887593 571850124 669483072 762466832 857775186 1143700248 1524933664 1715550372 1953821257 2287400496 3049867328 3431100744 3907642514 4574800992 5861463771 6862201488 7815285028 9149601984 11722927542 13724402976 15630570056 17584391313 23445855084 27448805952 31261140112 35168782626 46891710168 62522280224 70337565252 93783420336 125044560448 140675130504 187566840672 281350261008 375133681344 562700522016 1125401044032