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104012134440 = 233571118110337
BaseRepresentation
bin110000011011110011…
…0110011100000101000
3100221110210011220000120
41200313212303200220
53201004101300230
6115441005003240
710341342361314
oct1406746634050
9327423156016
10104012134440
1140125158095
12181a9553520
139a67abc3a6
145069c52b44
152a8b5aa310
hex18379b3828

104012134440 has 128 divisors (see below), whose sum is σ = 316729854720. Its totient is φ = 27320115200.

The previous prime is 104012134427. The next prime is 104012134441. The reversal of 104012134440 is 44431210401.

It is a super-2 number, since 2×1040121344402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104012134440.

It is not an unprimeable number, because it can be changed into a prime (104012134441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10056952 + ... + 10067288.

It is an arithmetic number, because the mean of its divisors is an integer number (2474451990).

Almost surely, 2104012134440 is an apocalyptic number.

104012134440 is a gapful number since it is divisible by the number (10) 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 104012134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158364927360).

104012134440 is an abundant number, since it is smaller than the sum of its proper divisors (212717720280).

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

104012134440 is a wasteful number, since it uses less digits than its factorization.

104012134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11603 (or 11599 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 104012134440 its reverse (44431210401), we get a palindrome (148443344841).

The spelling of 104012134440 in words is "one hundred four billion, twelve million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1181 1420 1704 2130 2362 2840 3543 4260 4724 5905 7086 8520 9448 10337 11810 14172 17715 20674 23620 28344 31011 35430 41348 47240 51685 62022 70860 82696 83851 103370 124044 141720 155055 167702 206740 248088 251553 310110 335404 413480 419255 503106 620220 670808 733927 838510 1006212 1240440 1257765 1467854 1677020 2012424 2201781 2515530 2935708 3354040 3669635 4403562 5031060 5871416 7339270 8807124 10062120 11008905 12207997 14678540 17614248 22017810 24415994 29357080 36623991 44035620 48831988 61039985 73247982 88071240 97663976 122079970 146495964 183119955 244159940 292991928 366239910 488319880 732479820 866767787 1464959640 1733535574 2600303361 3467071148 4333838935 5200606722 6934142296 8667677870 10401213444 13001516805 17335355740 20802426888 26003033610 34670711480 52006067220 104012134440