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133240420880 = 2457719330917
BaseRepresentation
bin111110000010110111…
…1110111101000010000
3110201220202100200101222
41330011233313220100
54140334021432010
6141113152344212
712424551614360
oct1740557675020
9421822320358
10133240420880
1151563820316
12219a5b45068
13c745326638
14663d9b69a0
1536ec598355
hex1f05bf7a10

133240420880 has 80 divisors (see below), whose sum is σ = 354532308480. Its totient is φ = 45618756096.

The previous prime is 133240420849. The next prime is 133240420949. The reversal of 133240420880 is 88024042331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 133240420880.

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, 237182 + ... + 568098.

It is an arithmetic number, because the mean of its divisors is an integer number (4431653856).

Almost surely, 2133240420880 is an apocalyptic number.

133240420880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133240420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177266154240).

133240420880 is an abundant number, since it is smaller than the sum of its proper divisors (221291887600).

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

133240420880 is a wasteful number, since it uses less digits than its factorization.

133240420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331656 (or 331650 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 133240420880 in words is "one hundred thirty-three billion, two hundred forty million, four hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 719 1438 2876 3595 5033 5752 7190 10066 11504 14380 20132 25165 28760 40264 50330 57520 80528 100660 201320 330917 402640 661834 1323668 1654585 2316419 2647336 3309170 4632838 5294672 6618340 9265676 11582095 13236680 18531352 23164190 26473360 37062704 46328380 92656760 185313520 237929323 475858646 951717292 1189646615 1665505261 1903434584 2379293230 3331010522 3806869168 4758586460 6662021044 8327526305 9517172920 13324042088 16655052610 19034345840 26648084176 33310105220 66620210440 133240420880