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1001414414232 = 233273318974807
BaseRepresentation
bin11101001001010001111…
…00110100111110011000
310112201211021220010001100
432210220330310332120
5112401344042223412
62044013214151400
7132230661034461
oct16445074647630
93481737803040
101001414414232
1135677436a281
121420b77b2560
137358232313b
143667c22bd68
151b0b0a06edc
hexe928f34f98

1001414414232 has 48 divisors (see below), whose sum is σ = 2715864269040. Its totient is φ = 333349391808.

The previous prime is 1001414414227. The next prime is 1001414414249. The reversal of 1001414414232 is 2324144141001.

1001414414232 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 14 + 414 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1001414414196 and 1001414414205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9434628 + ... + 9540179.

It is an arithmetic number, because the mean of its divisors is an integer number (56580505605).

Almost surely, 21001414414232 is an apocalyptic number.

1001414414232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001414414232 is an abundant number, since it is smaller than the sum of its proper divisors (1714449854808).

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

1001414414232 is a wasteful number, since it uses less digits than its factorization.

1001414414232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18975552 (or 18975545 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1001414414232 its reverse (2324144141001), we get a palindrome (3325558555233).

The spelling of 1001414414232 in words is "one trillion, one billion, four hundred fourteen million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 733 1466 2199 2932 4398 5864 6597 8796 13194 17592 26388 52776 18974807 37949614 56924421 75899228 113848842 151798456 170773263 227697684 341546526 455395368 683093052 1366186104 13908533531 27817067062 41725600593 55634134124 83451201186 111268268248 125176801779 166902402372 250353603558 333804804744 500707207116 1001414414232