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1240145204441 = 112131151968443
BaseRepresentation
bin10010000010111110011…
…010100001010011011001
311101120000211222210112012
4102002332122201103121
5130304304133020231
62345414223355305
7155411645211263
oct22027632412331
94346024883465
101240145204441
11438a40701400
12180422152b35
138cc3977a450
14440480d2b33
15223d4305e2b
hex120be6a14d9

1240145204441 has 24 divisors (see below), whose sum is σ = 1468140226560. Its totient is φ = 1040575741920.

The previous prime is 1240145204423. The next prime is 1240145204497. The reversal of 1240145204441 is 1444025410421.

It is not a de Polignac number, because 1240145204441 - 26 = 1240145204377 is a prime.

It is a super-2 number, since 2×12401452044412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1240145204398 and 1240145204407.

It is not an unprimeable number, because it can be changed into a prime (1240145204401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18085166 + ... + 18153608.

It is an arithmetic number, because the mean of its divisors is an integer number (61172509440).

Almost surely, 21240145204441 is an apocalyptic number.

1240145204441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1240145204441 is a deficient number, since it is larger than the sum of its proper divisors (227995022119).

1240145204441 is a wasteful number, since it uses less digits than its factorization.

1240145204441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79997 (or 79986 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The spelling of 1240145204441 in words is "one trillion, two hundred forty billion, one hundred forty-five million, two hundred four thousand, four hundred forty-one".

Divisors: 1 11 13 121 143 1573 11519 68443 126709 149747 752873 889759 1393799 1647217 8281603 9787349 18119387 107660839 788394917 8672344087 10249133921 95395784957 112740473131 1240145204441