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104144303520 = 25325292493877
BaseRepresentation
bin110000011111101111…
…0111111010110100000
3100221210222212202220200
41200333132333112200
53201241420203040
6115502045505200
710344535655025
oct1407736772640
9327728782820
10104144303520
1140192820734
1218225872200
139a892b724a
14507d61954c
152a97eb6630
hex183f7bf5a0

104144303520 has 144 divisors (see below), whose sum is σ = 367647494760. Its totient is φ = 26814154752.

The previous prime is 104144303509. The next prime is 104144303561. The reversal of 104144303520 is 25303441401.

It is a happy number.

104144303520 is a `hidden beast` number, since 104 + 1 + 4 + 4 + 30 + 3 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98372558736 + 5771744784 = 313644^2 + 75972^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 1205179 + ... + 1288698.

Almost surely, 2104144303520 is an apocalyptic number.

104144303520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104144303520 is an abundant number, since it is smaller than the sum of its proper divisors (263503191240).

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

104144303520 is a wasteful number, since it uses less digits than its factorization.

104144303520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493927 (or 2493916 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 104144303520 its reverse (25303441401), we get a palindrome (129447744921).

The spelling of 104144303520 in words is "one hundred four billion, one hundred forty-four million, three hundred three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 6960 8352 10440 13920 20880 41760 2493877 4987754 7481631 9975508 12469385 14963262 19951016 22444893 24938770 29926524 37408155 39902032 44889786 49877540 59853048 72322433 74816310 79804064 89779572 99755080 112224465 119706096 144644866 149632620 179559144 199510160 216967299 224448930 239412192 289289732 299265240 359118288 361612165 399020320 433934598 448897860 578579464 598530480 650901897 718236576 723224330 867869196 897795720 1084836495 1157158928 1197060960 1301803794 1446448660 1735738392 1795591440 2169672990 2314317856 2603607588 2892897320 3254509485 3471476784 3591182880 4339345980 5207215176 5785794640 6509018970 6942953568 8678691960 10414430352 11571589280 13018037940 17357383920 20828860704 26036075880 34714767840 52072151760 104144303520