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4014861072 = 2434711315749
BaseRepresentation
bin1110111101001101…
…1110101100010000
3101100210200002000020
43233103132230100
531210301023242
61502220223440
7201330520215
oct35723365420
911323602006
104014861072
111780314602
1294069ab80
134bca25a51
142a1301b0c
1518770d6ec
hexef4deb10

4014861072 has 80 divisors (see below), whose sum is σ = 10686816000. Its totient is φ = 1298139136.

The previous prime is 4014861061. The next prime is 4014861089. The reversal of 4014861072 is 2701684104.

It is a super-2 number, since 2×40148610722 = 32238218854921978368, which contains 22 as substring.

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, 247054 + ... + 262802.

It is an arithmetic number, because the mean of its divisors is an integer number (133585200).

Almost surely, 24014861072 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 4014861072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408000).

4014861072 is an abundant number, since it is smaller than the sum of its proper divisors (6671954928).

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

4014861072 is a wasteful number, since it uses less digits than its factorization.

4014861072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15920 (or 15914 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4014861072 is about 63362.9313715835. The cubic root of 4014861072 is about 1589.3644958425.

The spelling of 4014861072 in words is "four billion, fourteen million, eight hundred sixty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 113 141 188 226 282 339 376 452 564 678 752 904 1128 1356 1808 2256 2712 5311 5424 10622 15749 15933 21244 31498 31866 42488 47247 62996 63732 84976 94494 125992 127464 188988 251984 254928 377976 740203 755952 1480406 1779637 2220609 2960812 3559274 4441218 5338911 5921624 7118548 8882436 10677822 11843248 14237096 17764872 21355644 28474192 35529744 42711288 83642939 85422576 167285878 250928817 334571756 501857634 669143512 1003715268 1338287024 2007430536 4014861072