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103004033440 = 2557118360717
BaseRepresentation
bin101111111101110000…
…1001101000110100000
3100211212112021001102111
41133323201031012200
53141423013032230
6115152553525104
710304351560330
oct1377341150640
9324775231374
10103004033440
113a758100970
1217b67a13794
139936ca6b19
144db1dd70c0
152a2cd2892a
hex17fb84d1a0

103004033440 has 96 divisors (see below), whose sum is σ = 303393734784. Its totient is φ = 32105149440.

The previous prime is 103004033393. The next prime is 103004033441. The reversal of 103004033440 is 44330400301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (103004033441) 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 15 ways as a sum of consecutive naturals, for example, 4168039 + ... + 4192678.

It is an arithmetic number, because the mean of its divisors is an integer number (3160351404).

Almost surely, 2103004033440 is an apocalyptic number.

103004033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103004033440 is an abundant number, since it is smaller than the sum of its proper divisors (200389701344).

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

103004033440 is a wasteful number, since it uses less digits than its factorization.

103004033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360750 (or 8360742 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 103004033440 its reverse (44330400301), we get a palindrome (147334433741).

The spelling of 103004033440 in words is "one hundred three billion, four million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 8360717 16721434 33442868 41803585 58525019 66885736 83607170 91967887 117050038 133771472 167214340 183935774 234100076 267542944 292625095 334428680 367871548 459839435 468200152 585250190 643775209 668857360 735743096 919678870 936400304 1170500380 1287550418 1337714720 1471486192 1839357740 1872800608 2341000760 2575100836 2942972384 3218876045 3678715480 4682001520 5150201672 6437752090 7357430960 9364003040 10300403344 12875504180 14714861920 20600806688 25751008360 51502016720 103004033440