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3142631616 = 263193792273
BaseRepresentation
bin1011101101010000…
…1100000011000000
322010000102020010120
42323110030003000
522414003202431
61235501300240
7140606633205
oct27324140300
98100366116
103142631616
111372a2a713
12738564680
133b1103647
1421b533cac
15135d6a196
hexbb50c0c0

3142631616 has 112 divisors (see below), whose sum is σ = 8779459200. Its totient is φ = 989356032.

The previous prime is 3142631561. The next prime is 3142631621. The reversal of 3142631616 is 6161362413.

It is a super-2 number, since 2×31426316162 = 19752266947765542912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381456 + ... + 1383728.

Almost surely, 23142631616 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 3142631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389729600).

3142631616 is an abundant number, since it is smaller than the sum of its proper divisors (5636827584).

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

3142631616 is a wasteful number, since it uses less digits than its factorization.

3142631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2676 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 3142631616 is about 56059.1795872897. The cubic root of 3142631616 is about 1464.7533224740.

The spelling of 3142631616 in words is "three billion, one hundred forty-two million, six hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 379 456 608 758 912 1137 1216 1516 1824 2273 2274 3032 3648 4546 4548 6064 6819 7201 9092 9096 12128 13638 14402 18184 18192 21603 24256 27276 28804 36368 36384 43187 43206 54552 57608 72736 72768 86374 86412 109104 115216 129561 145472 172748 172824 218208 230432 259122 345496 345648 436416 460864 518244 690992 691296 861467 1036488 1381984 1382592 1722934 2072976 2584401 2763968 3445868 4145952 5168802 6891736 8291904 10337604 13783472 16367873 20675208 27566944 32735746 41350416 49103619 55133888 65471492 82700832 98207238 130942984 165401664 196414476 261885968 392828952 523771936 785657904 1047543872 1571315808 3142631616