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4014146480 = 24561822571
BaseRepresentation
bin1110111101000011…
…0000001110110000
3101100202022202202212
43233100300032300
531210110141410
61502153031252
7201321452651
oct35720601660
911322282685
104014146480
11177a976733
129403b5528
134bc835706
142a1197528
1518761bb05
hexef4303b0

4014146480 has 40 divisors (see below), whose sum is σ = 9485900304. Its totient is φ = 1579334400.

The previous prime is 4014146467. The next prime is 4014146483. The reversal of 4014146480 is 846414104.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40141464802 = 32226743925792780800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014146483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406406 + ... + 416165.

Almost surely, 24014146480 is an apocalyptic number.

4014146480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014146480 is an abundant number, since it is smaller than the sum of its proper divisors (5471753824).

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

4014146480 is a wasteful number, since it uses less digits than its factorization.

4014146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822645 (or 822639 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4014146480 is about 63357.2922401202. The cubic root of 4014146480 is about 1589.2701949835.

The spelling of 4014146480 in words is "four billion, fourteen million, one hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 822571 1645142 3290284 4112855 6580568 8225710 13161136 16451420 32902840 50176831 65805680 100353662 200707324 250884155 401414648 501768310 802829296 1003536620 2007073240 4014146480