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4014219744 = 253219077309
BaseRepresentation
bin1110111101000100…
…0010000111100000
3101100202110111021100
43233101002013200
531210120012434
61502154354400
7201322206363
oct35721020740
911322414240
104014219744
11177aa16787
1294042ba00
134bc85cb72
142a11b60da
15187633699
hexef4421e0

4014219744 has 72 divisors (see below), whose sum is σ = 11422986120. Its totient is φ = 1337188608.

The previous prime is 4014219733. The next prime is 4014219751. The reversal of 4014219744 is 4479124104.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×40142197442 = 32227920306238851072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4014219699 and 4014219708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545562 + ... + 552870.

It is an arithmetic number, because the mean of its divisors is an integer number (158652585).

Almost surely, 24014219744 is an apocalyptic number.

It is an amenable number.

4014219744 is an abundant number, since it is smaller than the sum of its proper divisors (7408766376).

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

4014219744 is a wasteful number, since it uses less digits than its factorization.

4014219744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4014219744 is about 63357.8704187570. The cubic root of 4014219744 is about 1589.2798637540.

The spelling of 4014219744 in words is "four billion, fourteen million, two hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1907 3814 5721 7309 7628 11442 14618 15256 17163 21927 22884 29236 30512 34326 43854 45768 58472 61024 65781 68652 87708 91536 116944 131562 137304 175416 183072 233888 263124 274608 350832 526248 549216 701664 1052496 2104992 13938263 27876526 41814789 55753052 83629578 111506104 125444367 167259156 223012208 250888734 334518312 446024416 501777468 669036624 1003554936 1338073248 2007109872 4014219744