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4404114044 = 221117191092843
BaseRepresentation
bin1000001101000000…
…10111001001111100
3102100221010011200222
410012200113021330
533004423122134
62005003240512
7214065231431
oct40640271174
912327104628
104404114044
11196000a080
12a2ab19138
13552573755
142daca9b88
151ab99ca2e
hex10681727c

4404114044 has 96 divisors (see below), whose sum is σ = 9460281600. Its totient is φ = 1767951360.

The previous prime is 4404114007. The next prime is 4404114049.

4404114044 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404114049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547687 + ... + 1550529.

It is an arithmetic number, because the mean of its divisors is an integer number (98544600).

Almost surely, 24404114044 is an apocalyptic number.

4404114044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4404114044 is an abundant number, since it is smaller than the sum of its proper divisors (5056167556).

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

4404114044 is a wasteful number, since it uses less digits than its factorization.

4404114044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4404114044 is about 66363.4993351014. The cubic root of 4404114044 is about 1639.1530978300.

It can be divided in two parts, 44041 and 14044, that added together give a palindrome (58085).

The spelling of 4404114044 in words is "four billion, four hundred four million, one hundred fourteen thousand, forty-four".

Divisors: 1 2 4 11 17 19 22 34 38 44 68 76 109 187 209 218 323 374 418 436 646 748 836 1199 1292 1853 2071 2398 2843 3553 3706 4142 4796 5686 7106 7412 8284 11372 14212 20383 22781 31273 35207 40766 45562 48331 54017 62546 70414 81532 91124 96662 108034 125092 140828 193324 216068 309887 387277 531641 594187 619774 774554 918289 1063282 1188374 1239548 1549108 1836578 2126564 2376748 3408757 3673156 5268079 5887853 6817514 10101179 10536158 11775706 13635028 20202358 21072316 23551412 40404716 57948869 64766383 100093501 115897738 129532766 200187002 231795476 259065532 400374004 1101028511 2202057022 4404114044