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3121633404 = 22364722777
BaseRepresentation
bin1011101000010000…
…0101100001111100
322001112220102000000
42322010011201330
522343114232104
61233431234300
7140233306011
oct27204054174
98045812000
103121633404
11136209841a
12731518990
133a9960a76
14218829708
151340bd639
hexba10587c

3121633404 has 84 divisors (see below), whose sum is σ = 8365174944. Its totient is φ = 1018360512.

The previous prime is 3121633397. The next prime is 3121633469. The reversal of 3121633404 is 4043361213.

3121633404 is a `hidden beast` number, since 3 + 1 + 21 + 633 + 4 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 125664 + ... + 148440.

It is an arithmetic number, because the mean of its divisors is an integer number (99585416).

Almost surely, 23121633404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121633404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182587472).

3121633404 is an abundant number, since it is smaller than the sum of its proper divisors (5243541540).

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

3121633404 is a wasteful number, since it uses less digits than its factorization.

3121633404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22846 (or 22829 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3121633404 is about 55871.5795731604. The cubic root of 3121633404 is about 1461.4836678505.

Adding to 3121633404 its reverse (4043361213), we get a palindrome (7164994617).

It can be divided in two parts, 31216 and 33404, that added together give a triangular number (64620 = T359).

The spelling of 3121633404 in words is "three billion, one hundred twenty-one million, six hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 243 282 324 423 486 564 729 846 972 1269 1458 1692 2538 2916 3807 5076 7614 11421 15228 22777 22842 34263 45554 45684 68331 68526 91108 136662 137052 204993 273324 409986 614979 819972 1070519 1229958 1844937 2141038 2459916 3211557 3689874 4282076 5534811 6423114 7379748 9634671 11069622 12846228 16604433 19269342 22139244 28904013 33208866 38538684 57808026 66417732 86712039 115616052 173424078 260136117 346848156 520272234 780408351 1040544468 1560816702 3121633404