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4014520032 = 253192200943
BaseRepresentation
bin1110111101001000…
…1011011011100000
3101100210000202012010
43233102023123200
531210204120112
61502205032520
7201324600015
oct35722133340
911323022163
104014520032
111780101356
12940555740
134bc936753
142a125370c
1518769263c
hexef48b6e0

4014520032 has 48 divisors (see below), whose sum is σ = 11092757760. Its totient is φ = 1267742592.

The previous prime is 4014520019. The next prime is 4014520093. The reversal of 4014520032 is 2300254104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40145200322 = 32232742174658562048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014519990 and 4014520008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1098648 + ... + 1102295.

It is an arithmetic number, because the mean of its divisors is an integer number (231099120).

Almost surely, 24014520032 is an apocalyptic number.

It is an amenable number.

4014520032 is an abundant number, since it is smaller than the sum of its proper divisors (7078237728).

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

4014520032 is a wasteful number, since it uses less digits than its factorization.

4014520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200975 (or 2200967 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4014520032 is about 63360.2401510600. The cubic root of 4014520032 is about 1589.3194920257.

Adding to 4014520032 its reverse (2300254104), we get a palindrome (6314774136).

The spelling of 4014520032 in words is "four billion, fourteen million, five hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2200943 4401886 6602829 8803772 13205658 17607544 26411316 35215088 41817917 52822632 70430176 83635834 105645264 125453751 167271668 211290528 250907502 334543336 501815004 669086672 1003630008 1338173344 2007260016 4014520032