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414004423044 = 223191092152833
BaseRepresentation
bin1100000011001001001…
…01100010100110000100
31110120121200100202211210
412001210211202212010
523240340113014134
6514105131331420
741624262350502
oct6014445424604
91416550322753
10414004423044
1114a63a781743
12682a12b0b70
133006ab384b4
14160760ab672
15ab811022e9
hex6064962984

414004423044 has 72 divisors (see below), whose sum is σ = 1026274196640. Its totient is φ = 129537957888.

The previous prime is 414004423009. The next prime is 414004423057. The reversal of 414004423044 is 440324400414.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2632452 + ... + 2785284.

Almost surely, 2414004423044 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 414004423044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513137098320).

414004423044 is an abundant number, since it is smaller than the sum of its proper divisors (612269773596).

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

414004423044 is a wasteful number, since it uses less digits than its factorization.

414004423044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153077 (or 152966 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 414004423044 its reverse (440324400414), we get a palindrome (854328823458).

The spelling of 414004423044 in words is "four hundred fourteen billion, four million, four hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 436 654 1308 2071 4142 6213 8284 11881 12426 23762 24852 35643 47524 71286 142572 152833 225739 305666 451478 458499 611332 677217 902956 916998 1354434 1833996 2708868 2903827 5807654 8711481 11615308 16658797 17422962 33317594 34845924 49976391 66635188 99952782 199905564 316517143 633034286 949551429 1266068572 1815808873 1899102858 3631617746 3798205716 5447426619 7263235492 10894853238 21789706476 34500368587 69000737174 103501105761 138001474348 207002211522 414004423044