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3181313940 = 2235710517207
BaseRepresentation
bin1011110110011110…
…1111111110010100
322012201012111022020
42331213233332110
523003404021230
61243402333140
7141556502520
oct27547577624
98181174266
103181313940
111392850282
127494ba1b0
133b91284ac
14222722d80
1513945b810
hexbd9eff94

3181313940 has 96 divisors (see below), whose sum is σ = 10191304704. Its totient is φ = 726364800.

The previous prime is 3181313917. The next prime is 3181313959. The reversal of 3181313940 is 493131813.

It is a congruent number.

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, 437817 + ... + 445023.

It is an arithmetic number, because the mean of its divisors is an integer number (106159424).

Almost surely, 23181313940 is an apocalyptic number.

3181313940 is a gapful number since it is divisible by the number (30) 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 3181313940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095652352).

3181313940 is an abundant number, since it is smaller than the sum of its proper divisors (7009990764).

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

3181313940 is a wasteful number, since it uses less digits than its factorization.

3181313940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8277 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3181313940 is about 56403.1376786788. The cubic root of 3181313940 is about 1470.7386634268.

It can be divided in two parts, 31813 and 13940, that added together give a triangular number (45753 = T302).

The spelling of 3181313940 in words is "three billion, one hundred eighty-one million, three hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1051 2102 3153 4204 5255 6306 7207 7357 10510 12612 14414 14714 15765 21020 21621 22071 28828 29428 31530 36035 36785 43242 44142 50449 63060 72070 73570 86484 88284 100898 108105 110355 144140 147140 151347 201796 216210 220710 252245 302694 432420 441420 504490 605388 756735 1008980 1513470 3026940 7574557 15149114 22723671 30298228 37872785 45447342 53021899 75745570 90894684 106043798 113618355 151491140 159065697 212087596 227236710 265109495 318131394 454473420 530218990 636262788 795328485 1060437980 1590656970 3181313940