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11444090412 = 22319711076607
BaseRepresentation
bin10101010100001111…
…01111011000101100
31002112120002000202110
422222013233120230
5141414141343122
65131330324020
7553411110036
oct125207573054
932476060673
1011444090412
114942988567
122274729610
131104c35541
147a7c70c56
1546ea6190c
hex2aa1ef62c

11444090412 has 96 divisors (see below), whose sum is σ = 28774932480. Its totient is φ = 3529189440.

The previous prime is 11444090401. The next prime is 11444090419. The reversal of 11444090412 is 21409044411.

It is a self number, because there is not a number n which added to its sum of digits gives 11444090412.

It is not an unprimeable number, because it can be changed into a prime (11444090419) 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, 1728813 + ... + 1735419.

It is an arithmetic number, because the mean of its divisors is an integer number (299738880).

Almost surely, 211444090412 is an apocalyptic number.

11444090412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444090412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387466240).

11444090412 is an abundant number, since it is smaller than the sum of its proper divisors (17330842068).

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

11444090412 is a wasteful number, since it uses less digits than its factorization.

11444090412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6811 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 11444090412 in words is "eleven billion, four hundred forty-four million, ninety thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 107 114 142 213 214 228 284 321 426 428 642 852 1284 1349 2033 2698 4047 4066 5396 6099 6607 7597 8094 8132 12198 13214 15194 16188 19821 22791 24396 26428 30388 39642 45582 79284 91164 125533 144343 251066 288686 376599 433029 469097 502132 577372 706949 753198 866058 938194 1407291 1413898 1506396 1732116 1876388 2120847 2814582 2827796 4241694 5629164 8483388 8912843 13432031 17825686 26738529 26864062 35651372 40296093 50193379 53477058 53728124 80592186 100386758 106954116 150580137 161184372 200773516 301160274 602320548 953674201 1907348402 2861022603 3814696804 5722045206 11444090412