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1132557415440 = 243511238999911
BaseRepresentation
bin10000011110110001101…
…011101011010000010000
311000021022212120211120020
4100132301223223100100
5122023434144243230
62224142323543440
7144552554123043
oct20366153532020
94007285524506
101132557415440
113a7351154100
121635b722ab80
1382a51c53239
143cb5d42ac5a
151e6d8d97810
hex107b1aeb410

1132557415440 has 120 divisors (see below), whose sum is σ = 3859119292224. Its totient is φ = 274559366400.

The previous prime is 1132557415417. The next prime is 1132557415447. The reversal of 1132557415440 is 445147552311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1132557415392 and 1132557415401.

It is not an unprimeable number, because it can be changed into a prime (1132557415447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19470916 + ... + 19528995.

Almost surely, 21132557415440 is an apocalyptic number.

1132557415440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132557415440 is an abundant number, since it is smaller than the sum of its proper divisors (2726561876784).

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

1132557415440 is a wasteful number, since it uses less digits than its factorization.

1132557415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38999949 (or 38999932 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 1132557415440 in words is "one trillion, one hundred thirty-two billion, five hundred fifty-seven million, four hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 38999911 77999822 116999733 155999644 194999555 233999466 311999288 389999110 428999021 467998932 584998665 623998576 779998220 857998042 935997864 1169997330 1286997063 1559996440 1715996084 1871995728 2144995105 2339994660 2573994126 3119992880 3431992168 4289990210 4679989320 4718989231 5147988252 6434985315 6863984336 8579980420 9359978640 9437978462 10295976504 12869970630 14156967693 17159960840 18875956924 20591953008 23594946155 25739941260 28313935386 34319921680 37751913848 47189892310 51479882520 56627870772 70784838465 75503827696 94379784620 102959765040 113255741544 141569676930 188759569240 226511483088 283139353860 377519138480 566278707720 1132557415440