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4015445104 = 2411191498059
BaseRepresentation
bin1110111101010110…
…1101010001110000
3101100211202202011001
43233111231101300
531210423220404
61502240531344
7201335502016
oct35725552160
911324682131
104015445104
111780683380
12940920b54
134bcb9b828
142a14148b6
151877c67a4
hexef56d470

4015445104 has 80 divisors (see below), whose sum is σ = 8994960000. Its totient is φ = 1717320960.

The previous prime is 4015445059. The next prime is 4015445177.

4015445104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40154451042 = 32247598766475141632, which contains 22 as substring.

It is a congruent number.

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, 494227 + ... + 502285.

It is an arithmetic number, because the mean of its divisors is an integer number (112437000).

Almost surely, 24015445104 is an apocalyptic number.

4015445104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4015445104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497480000).

4015445104 is an abundant number, since it is smaller than the sum of its proper divisors (4979514896).

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

4015445104 is a wasteful number, since it uses less digits than its factorization.

4015445104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 4015445104 is about 63367.5398291586. The cubic root of 4015445104 is about 1589.4415590918.

It can be divided in two parts, 40154 and 45104, that added together give a palindrome (85258).

The spelling of 4015445104 in words is "four billion, fifteen million, four hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 149 152 176 209 298 304 418 596 836 1192 1639 1672 2384 2831 3278 3344 5662 6556 8059 11324 13112 16118 22648 26224 31141 32236 45296 62282 64472 88649 124564 128944 153121 177298 249128 306242 354596 498256 612484 709192 1200791 1224968 1418384 1684331 2401582 2449936 3368662 4803164 6737324 9606328 13208701 13474648 19212656 22815029 26417402 26949296 45630058 52834804 91260116 105669608 182520232 211339216 250965319 365040464 501930638 1003861276 2007722552 4015445104