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40342501320 = 23351137381937
BaseRepresentation
bin100101100100100110…
…011011011111001000
310212010112112101222120
4211210212123133020
51130110140020240
630311051451240
72625503413632
oct454446333710
9125115471876
1040342501320
1116122321390
12799a756b20
133a5c011574
141d49c85a52
1510b1addad0
hex96499b7c8

40342501320 has 128 divisors (see below), whose sum is σ = 132385587840. Its totient is φ = 9753661440.

The previous prime is 40342501307. The next prime is 40342501343. The reversal of 40342501320 is 2310524304.

40342501320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451392 + ... + 533328.

It is an arithmetic number, because the mean of its divisors is an integer number (1034262405).

Almost surely, 240342501320 is an apocalyptic number.

40342501320 is a gapful number since it is divisible by the number (40) 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 40342501320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66192793920).

40342501320 is an abundant number, since it is smaller than the sum of its proper divisors (92043086520).

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

40342501320 is a wasteful number, since it uses less digits than its factorization.

40342501320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82335 (or 82331 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 40342501320 in words is "forty billion, three hundred forty-two million, five hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 373 440 660 746 1119 1320 1492 1865 2238 2984 3730 4103 4476 5595 7460 8206 8952 11190 12309 14920 16412 20515 22380 24618 32824 41030 44760 49236 61545 81937 82060 98472 123090 163874 164120 245811 246180 327748 409685 491622 492360 655496 819370 901307 983244 1229055 1638740 1802614 1966488 2458110 2703921 3277480 3605228 4506535 4916220 5407842 7210456 9013070 9832440 10815684 13519605 18026140 21631368 27039210 30562501 36052280 54078420 61125002 91687503 108156840 122250004 152812505 183375006 244500008 305625010 336187511 366750012 458437515 611250020 672375022 733500024 916875030 1008562533 1222500040 1344750044 1680937555 1833750060 2017125066 2689500088 3361875110 3667500120 4034250132 5042812665 6723750220 8068500264 10085625330 13447500440 20171250660 40342501320