Search a number
-
+
40133377920 = 273520902801
BaseRepresentation
bin100101011000001000…
…101011111110000000
310211120222000211121110
4211120020223332000
51124143121043140
630234221323320
72620354040466
oct453010537600
9124528024543
1040133377920
1116025277929
127940706540
133a278b16cc
141d2a1aa836
15109d581380
hex95822bf80

40133377920 has 64 divisors (see below), whose sum is σ = 127925148240. Its totient is φ = 10702233600.

The previous prime is 40133377897. The next prime is 40133377937. The reversal of 40133377920 is 2977333104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×401333779202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10449481 + ... + 10453320.

Almost surely, 240133377920 is an apocalyptic number.

40133377920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40133377920 is an abundant number, since it is smaller than the sum of its proper divisors (87791770320).

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

40133377920 is a wasteful number, since it uses less digits than its factorization.

40133377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20902823 (or 20902811 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The spelling of 40133377920 in words is "forty billion, one hundred thirty-three million, three hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 20902801 41805602 62708403 83611204 104514005 125416806 167222408 209028010 250833612 313542015 334444816 418056020 501667224 627084030 668889632 836112040 1003334448 1254168060 1337779264 1672224080 2006668896 2508336120 2675558528 3344448160 4013337792 5016672240 6688896320 8026675584 10033344480 13377792640 20066688960 40133377920