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10940106709440 = 2632523316303211
BaseRepresentation
bin1001111100110011000100…
…1011001001100111000000
31102201212022211212021101200
42133030301023021213000
52413220314304200230
635133452102301200
72206253020464006
oct237146113114700
942655284767350
1010940106709440
113538745036277
121288323727800
13614855b1955c
1429b70ad3ca76
1513e89d4d4160
hex9f3312c99c0

10940106709440 has 168 divisors, whose sum is σ = 37790910628848. Its totient is φ = 2904840744960.

The previous prime is 10940106709349. The next prime is 10940106709459. The reversal of 10940106709440 is 4490760104901.

10940106709440 is a `hidden beast` number, since 10 + 94 + 0 + 106 + 7 + 0 + 9 + 440 = 666.

It is a super-2 number, since 2×109401067094402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7480566 + ... + 8822645.

Almost surely, 210940106709440 is an apocalyptic number.

10940106709440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10940106709440 is an abundant number, since it is smaller than the sum of its proper divisors (26850803919408).

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

10940106709440 is a wasteful number, since it uses less digits than its factorization.

10940106709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16303467 (or 16303454 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10940106709440 in words is "ten trillion, nine hundred forty billion, one hundred six million, seven hundred nine thousand, four hundred forty".