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3138463224 = 23321310731337
BaseRepresentation
bin1011101100010001…
…0010010111111000
322002201120110011200
42323010102113320
522411421310344
61235232054200
7140526332361
oct27304222770
98081513150
103138463224
111370642966
12737094360
133b02a4240
1421ab6ab68
151357e5069
hexbb1125f8

3138463224 has 96 divisors (see below), whose sum is σ = 9239695920. Its totient is φ = 956625408.

The previous prime is 3138463217. The next prime is 3138463261. The reversal of 3138463224 is 4223648313.

3138463224 is a `hidden beast` number, since 3 + 13 + 8 + 4 + 632 + 2 + 4 = 666.

3138463224 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84484 + ... + 115820.

Almost surely, 23138463224 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 3138463224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619847960).

3138463224 is an abundant number, since it is smaller than the sum of its proper divisors (6101232696).

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

3138463224 is a wasteful number, since it uses less digits than its factorization.

3138463224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31469 (or 31462 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 3138463224 is about 56021.9887544168. The cubic root of 3138463224 is about 1464.1054188176.

The spelling of 3138463224 in words is "three billion, one hundred thirty-eight million, four hundred sixty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 107 117 156 214 234 312 321 428 468 642 856 936 963 1284 1391 1926 2568 2782 3852 4173 5564 7704 8346 11128 12519 16692 25038 31337 33384 50076 62674 94011 100152 125348 188022 250696 282033 376044 407381 564066 752088 814762 1128132 1222143 1629524 2256264 2444286 3259048 3353059 3666429 4888572 6706118 7332858 9777144 10059177 13412236 14665716 20118354 26824472 29331432 30177531 40236708 43589767 60355062 80473416 87179534 120710124 130769301 174359068 241420248 261538602 348718136 392307903 523077204 784615806 1046154408 1569231612 3138463224