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133100314420440 = 23355597391981583
BaseRepresentation
bin11110010000110111010100…
…111101011110010011011000
3122110021021011202120010020010
4132100313110331132103120
5114421203420442423230
61151025235035401520
740015115604363663
oct3620672475362330
9573237152503203
10133100314420440
1139456587632804
1212b17895bb32a0
1359363c8aa1203
1424c2137ba06da
15105c3a09339b0
hex790dd4f5e4d8

133100314420440 has 64 divisors (see below), whose sum is σ = 399301858137600. Its totient is φ = 35493335856512.

The previous prime is 133100314420433. The next prime is 133100314420523. The reversal of 133100314420440 is 44024413001331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133100314420398 and 133100314420407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66177889 + ... + 68159471.

It is an arithmetic number, because the mean of its divisors is an integer number (6239091533400).

Almost surely, 2133100314420440 is an apocalyptic number.

133100314420440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133100314420440 is an abundant number, since it is smaller than the sum of its proper divisors (266201543717160).

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

133100314420440 is a wasteful number, since it uses less digits than its factorization.

133100314420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541336 (or 2541332 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 133100314420440 its reverse (44024413001331), we get a palindrome (177124727421771).

The spelling of 133100314420440 in words is "one hundred thirty-three trillion, one hundred billion, three hundred fourteen million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 559739 1119478 1679217 1981583 2238956 2798695 3358434 3963166 4477912 5597390 5944749 6716868 7926332 8396085 9907915 11194780 11889498 13433736 15852664 16792170 19815830 22389560 23778996 29723745 33584340 39631660 47557992 59447490 67168680 79263320 118894980 237789960 1109169286837 2218338573674 3327507860511 4436677147348 5545846434185 6655015721022 8873354294696 11091692868370 13310031442044 16637539302555 22183385736740 26620062884088 33275078605110 44366771473480 66550157210220 133100314420440