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4014243432 = 2332791275557
BaseRepresentation
bin1110111101000100…
…0111111001101000
3101100202111200202200
43233101013321220
531210121242212
61502155100200
7201322335423
oct35721077150
911322450680
104014243432
11177aa32561
12940441660
134bc86a894
142a11c09ba
1518763a6dc
hexef447e68

4014243432 has 96 divisors (see below), whose sum is σ = 11098214400. Its totient is φ = 1310504832.

The previous prime is 4014243407. The next prime is 4014243461. The reversal of 4014243432 is 2343424104.

It is a happy number.

It is a super-2 number, since 2×40142434322 = 32228300662710277248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014243396 and 4014243405.

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, 719598 + ... + 725154.

It is an arithmetic number, because the mean of its divisors is an integer number (115606400).

Almost surely, 24014243432 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 4014243432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549107200).

4014243432 is an abundant number, since it is smaller than the sum of its proper divisors (7083970968).

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

4014243432 is a wasteful number, since it uses less digits than its factorization.

4014243432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4014243432 is about 63358.0573565825. The cubic root of 4014243432 is about 1589.2829898731.

Adding to 4014243432 its reverse (2343424104), we get a palindrome (6357667536).

The spelling of 4014243432 in words is "four billion, fourteen million, two hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 127 158 237 254 316 381 474 508 632 711 762 948 1016 1143 1422 1524 1896 2286 2844 3048 4572 5557 5688 9144 10033 11114 16671 20066 22228 30099 33342 40132 44456 50013 60198 66684 80264 90297 100026 120396 133368 180594 200052 240792 361188 400104 439003 705739 722376 878006 1317009 1411478 1756012 2117217 2634018 2822956 3512024 3951027 4234434 5268036 5645912 6351651 7902054 8468868 10536072 12703302 15804108 16937736 25406604 31608216 50813208 55753381 111506762 167260143 223013524 334520286 446027048 501780429 669040572 1003560858 1338081144 2007121716 4014243432