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10044120423304 = 23111923131010131
BaseRepresentation
bin1001001000101001010000…
…1110101101101110001000
31022120012122000120222111101
42102022110032231232020
52304030324312021204
633210112154511144
72054443444635112
oct222122416555610
938505560528441
1010044120423304
113222762147080
12116274b7354b4
1357b205a73c86
1426a1d0a3a3b2
1512640d53aea4
hex922943adb88

10044120423304 has 96 divisors (see below), whose sum is σ = 21752303703840. Its totient is φ = 4311396460800.

The previous prime is 10044120423301. The next prime is 10044120423317. The reversal of 10044120423304 is 40332402144001.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10044120423301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9438319 + ... + 10448449.

It is an arithmetic number, because the mean of its divisors is an integer number (226586496915).

Almost surely, 210044120423304 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 10044120423304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10876151851920).

10044120423304 is an abundant number, since it is smaller than the sum of its proper divisors (11708183280536).

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

10044120423304 is a wasteful number, since it uses less digits than its factorization.

10044120423304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010499 (or 1010476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10044120423304 its reverse (40332402144001), we get a palindrome (50376522567305).

The spelling of 10044120423304 in words is "ten trillion, forty-four billion, one hundred twenty million, four hundred twenty-three thousand, three hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 313 361 418 626 722 836 1252 1444 1672 2504 2888 3443 3971 5947 6886 7942 11894 13772 15884 23788 27544 31768 47576 65417 112993 130834 225986 261668 451972 523336 903944 1010131 1242923 2020262 2485846 4040524 4971692 8081048 9943384 11111441 19192489 22222882 38384978 44445764 76769956 88891528 153539912 211117379 316171003 364657291 422234758 632342006 729314582 844469516 1264684012 1458629164 1688939032 2529368024 2917258328 3477881033 4011230201 6007249057 6955762066 8022460402 12014498114 13911524132 16044920804 24028996228 27823048264 32089841608 48057992456 66079739627 114137732083 132159479254 228275464166 264318958508 456550928332 528637917016 913101856664 1255515052913 2511030105826 5022060211652 10044120423304