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4013544444 = 22371317920533
BaseRepresentation
bin1110111100111001…
…1101001111111100
3101100201012011221020
43233032131033330
531204431410234
61502132104140
7201313364520
oct35716351774
911321164836
104013544444
11177a5a5388
12940165050
134bc684690
142a107bd80
1518754d549
hexef39d3fc

4013544444 has 96 divisors (see below), whose sum is σ = 11591032320. Its totient is φ = 1052552448.

The previous prime is 4013544421. The next prime is 4013544473. The reversal of 4013544444 is 4444453104.

It is a super-2 number, since 2×40135444442 = 32217078007926538272, 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 31 ways as a sum of consecutive naturals, for example, 185202 + ... + 205734.

It is an arithmetic number, because the mean of its divisors is an integer number (120739920).

Almost surely, 24013544444 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 4013544444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795516160).

4013544444 is an abundant number, since it is smaller than the sum of its proper divisors (7577487876).

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

4013544444 is a wasteful number, since it uses less digits than its factorization.

4013544444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20739 (or 20737 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The square root of 4013544444 is about 63352.5409435170. The cubic root of 4013544444 is about 1589.1907388473.

Adding to 4013544444 its reverse (4444453104), we get a palindrome (8457997548).

The spelling of 4013544444 in words is "four billion, thirteen million, five hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 179 182 273 358 364 537 546 716 1074 1092 1253 2148 2327 2506 3759 4654 5012 6981 7518 9308 13962 15036 16289 20533 27924 32578 41066 48867 61599 65156 82132 97734 123198 143731 195468 246396 266929 287462 431193 533858 574924 800787 862386 1067716 1601574 1724772 1868503 3203148 3675407 3737006 5605509 7350814 7474012 11026221 11211018 14701628 22052442 22422036 25727849 44104884 47780291 51455698 77183547 95560582 102911396 143340873 154367094 191121164 286681746 308734188 334462037 573363492 668924074 1003386111 1337848148 2006772222 4013544444