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1131405444440 = 235313613147419
BaseRepresentation
bin10000011101101101000…
…001010000010101011000
311000011100120221122102122
4100131231001100111120
5122014104243210230
62223432133120412
7144512165413025
oct20355501202530
94004316848378
101131405444440
113a690a972257
12163335489108
13828ca3a6cab
143ca9044054c
151e66cb97be5
hex1076d050558

1131405444440 has 64 divisors (see below), whose sum is σ = 2557978768800. Its totient is φ = 450377321472.

The previous prime is 1131405444431. The next prime is 1131405444443. The reversal of 1131405444440 is 444445041311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1131405444440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131405444443) 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, 7601051 + ... + 7748469.

Almost surely, 21131405444440 is an apocalyptic number.

1131405444440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131405444440 is an abundant number, since it is smaller than the sum of its proper divisors (1426573324360).

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

1131405444440 is a wasteful number, since it uses less digits than its factorization.

1131405444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148356 (or 148352 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 1131405444440 in words is "one trillion, one hundred thirty-one billion, four hundred five million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 313 613 626 1226 1252 1565 2452 2504 3065 3130 4904 6130 6260 12260 12520 24520 147419 191869 294838 383738 589676 737095 767476 959345 1179352 1474190 1534952 1918690 2948380 3837380 5896760 7674760 46142147 90367847 92284294 180735694 184568588 230710735 361471388 369137176 451839235 461421470 722942776 903678470 922842940 1807356940 1845685880 3614713880 28285136111 56570272222 113140544444 141425680555 226281088888 282851361110 565702722220 1131405444440