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13444616034 = 23622341351
BaseRepresentation
bin11001000010101110…
…01000111101100010
31021200222102021000000
430201113020331202
5210013310203114
610102032440430
7654112231203
oct144127107542
937628367000
1013444616034
11577a154023
1227326a9116
131363534c05
149178255aa
1553a4c9e09
hex3215c8f62

13444616034 has 56 divisors (see below), whose sum is σ = 30372878592. Its totient is φ = 4461334200.

The previous prime is 13444615997. The next prime is 13444616047. The reversal of 13444616034 is 43061644431.

13444616034 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 4 + 616 + 0 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13444616034.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 304459 + ... + 345809.

It is an arithmetic number, because the mean of its divisors is an integer number (542372832).

Almost surely, 213444616034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444616034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186439296).

13444616034 is an abundant number, since it is smaller than the sum of its proper divisors (16928262558).

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

13444616034 is an equidigital number, since it uses as much as digits as its factorization.

13444616034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41594 (or 41579 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 13444616034 in words is "thirteen billion, four hundred forty-four million, six hundred sixteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 243 446 486 669 729 1338 1458 2007 4014 6021 12042 18063 36126 41351 54189 82702 108378 124053 162567 248106 325134 372159 744318 1116477 2232954 3349431 6698862 9221273 10048293 18442546 20096586 27663819 30144879 55327638 60289758 82991457 165982914 248974371 497948742 746923113 1493846226 2240769339 4481538678 6722308017 13444616034