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440044440044 = 2211731011379901
BaseRepresentation
bin1100110011101001011…
…00010100100111101100
31120001211110020200202212
412121310230110213230
524202202334040134
6534053103305552
743535466011426
oct6316454244754
91501743220685
10440044440044
1115a692683950
1271349bab2b8
133265a980391
141742661b816
15b6a725cbce
hex6674b149ec

440044440044 has 96 divisors (see below), whose sum is σ = 866389511232. Its totient is φ = 193881600000.

The previous prime is 440044439981. The next prime is 440044440179.

440044440044 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

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, 44439494 + ... + 44449394.

It is an arithmetic number, because the mean of its divisors is an integer number (9024890742).

Almost surely, 2440044440044 is an apocalyptic number.

440044440044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440044440044 is a deficient number, since it is larger than the sum of its proper divisors (426345071188).

440044440044 is a wasteful number, since it uses less digits than its factorization.

440044440044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10227 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 440044 and 440044, that added together give a palindrome (880088).

The spelling of 440044440044 in words is "four hundred forty billion, forty-four million, four hundred forty thousand, forty-four".

Divisors: 1 2 4 11 22 44 73 101 137 146 202 274 292 404 548 803 1111 1507 1606 2222 3014 3212 4444 6028 7373 9901 10001 13837 14746 19802 20002 27674 29492 39604 40004 55348 81103 108911 110011 152207 162206 217822 220022 304414 324412 435644 440044 608828 722773 1000001 1010101 1356437 1445546 2000002 2020202 2712874 2891092 4000004 4040404 5425748 7950503 11000011 11111111 14920807 15901006 22000022 22222222 29841614 31802012 44000044 44444444 59683228 73000073 99019901 137000137 146000146 198039802 274000274 292000292 396079604 548000548 803000803 1089218911 1507001507 1606001606 2178437822 3014003014 3212003212 4356875644 6028006028 10001010001 20002020002 40004040004 110011110011 220022220022 440044440044