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103042401444 = 223217479351503
BaseRepresentation
bin101111111110111001…
…1100100010010100100
3100211222012110100102200
41133331303210102210
53142012323321234
6115200444134500
710305325650363
oct1377563442244
9324865410380
10103042401444
113a777827364
1217b78837430
139941c1b898
144db71437da
152a313a6d99
hex17fdce44a4

103042401444 has 72 divisors (see below), whose sum is σ = 276366504960. Its totient is φ = 32259447552.

The previous prime is 103042401439. The next prime is 103042401457. The reversal of 103042401444 is 444104240301.

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, 117397 + ... + 468899.

It is an arithmetic number, because the mean of its divisors is an integer number (3838423680).

Almost surely, 2103042401444 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 103042401444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138183252480).

103042401444 is an abundant number, since it is smaller than the sum of its proper divisors (173324103516).

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

103042401444 is a wasteful number, since it uses less digits than its factorization.

103042401444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352009 (or 352004 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 103042401444 its reverse (444104240301), we get a palindrome (547146641745).

The spelling of 103042401444 in words is "one hundred three billion, forty-two million, four hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 479 612 958 1437 1916 2874 4311 5748 8143 8622 16286 17244 24429 32572 48858 73287 97716 146574 293148 351503 703006 1054509 1406012 2109018 3163527 4218036 5975551 6327054 11951102 12654108 17926653 23902204 35853306 53779959 71706612 107559918 168369937 215119836 336739874 505109811 673479748 1010219622 1515329433 2020439244 2862288929 3030658866 5724577858 6061317732 8586866787 11449155716 17173733574 25760600361 34347467148 51521200722 103042401444