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103004034444 = 223253359150377
BaseRepresentation
bin101111111101110000…
…1001101010110001100
3100211212112021002210200
41133323201031112030
53141423013100234
6115152553533500
710304351563263
oct1377341152614
9324775232720
10103004034444
113a7581016a3
1217b67a14290
139936ca740c
144db1dd75da
152a2cd28d99
hex17fb84d58c

103004034444 has 72 divisors (see below), whose sum is σ = 266024697120. Its totient is φ = 33592795392.

The previous prime is 103004034437. The next prime is 103004034481. The reversal of 103004034444 is 444430400301.

103004034444 is a `hidden beast` number, since 10 + 300 + 4 + 0 + 344 + 4 + 4 = 666.

103004034444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030040344442 (a number of 23 digits) contains 22 as substring.

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, 609784 + ... + 760160.

It is an arithmetic number, because the mean of its divisors is an integer number (3694787460).

Almost surely, 2103004034444 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 103004034444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133012348560).

103004034444 is an abundant number, since it is smaller than the sum of its proper divisors (163020662676).

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

103004034444 is a wasteful number, since it uses less digits than its factorization.

103004034444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150799 (or 150794 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 103004034444 its reverse (444430400301), we get a palindrome (547434434745).

The spelling of 103004034444 in words is "one hundred three billion, four million, thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 359 477 636 718 954 1077 1436 1908 2154 3231 4308 6462 12924 19027 38054 57081 76108 114162 150377 171243 228324 300754 342486 451131 601508 684972 902262 1353393 1804524 2706786 5413572 7969981 15939962 23909943 31879924 47819886 53985343 71729829 95639772 107970686 143459658 161956029 215941372 286919316 323912058 485868087 647824116 971736174 1943472348 2861223179 5722446358 8583669537 11444892716 17167339074 25751008611 34334678148 51502017222 103004034444