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104512243440 = 243511251157721
BaseRepresentation
bin110000101010101101…
…0100100011011110000
3100222202122020001121010
41201111122210123300
53203020113242230
6120002352030520
710356624261123
oct1412532443360
9328678201533
10104512243440
1140361489410
1218308b32440
139b175b1c87
1450b64363ba
152aba4459b0
hex18556a46f0

104512243440 has 160 divisors (see below), whose sum is σ = 354851788032. Its totient is φ = 25235200000.

The previous prime is 104512243417. The next prime is 104512243441. The reversal of 104512243440 is 44342215401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104512243398 and 104512243407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104512243441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583780 + ... + 741500.

Almost surely, 2104512243440 is an apocalyptic number.

104512243440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104512243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177425894016).

104512243440 is an abundant number, since it is smaller than the sum of its proper divisors (250339544592).

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

104512243440 is a wasteful number, since it uses less digits than its factorization.

104512243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157999 (or 157993 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 104512243440 its reverse (44342215401), we get a palindrome (148854458841).

The spelling of 104512243440 in words is "one hundred four billion, five hundred twelve million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 251 264 330 440 502 528 660 753 880 1004 1255 1320 1506 2008 2510 2640 2761 3012 3765 4016 5020 5522 6024 7530 8283 10040 11044 12048 13805 15060 16566 20080 22088 27610 30120 33132 41415 44176 55220 60240 66264 82830 110440 132528 157721 165660 220880 315442 331320 473163 630884 662640 788605 946326 1261768 1577210 1734931 1892652 2365815 2523536 3154420 3469862 3785304 4731630 5204793 6308840 6939724 7570608 8674655 9463260 10409586 12617680 13879448 17349310 18926520 20819172 26023965 27758896 34698620 37853040 39587971 41638344 52047930 69397240 79175942 83276688 104095860 118763913 138794480 158351884 197939855 208191720 237527826 316703768 395879710 416383440 435467681 475055652 593819565 633407536 791759420 870935362 950111304 1187639130 1306403043 1583518840 1741870724 1900222608 2177338405 2375278260 2612806086 3167037680 3483741448 4354676810 4750556520 5225612172 6532015215 6967482896 8709353620 9501113040 10451224344 13064030430 17418707240 20902448688 26128060860 34837414480 52256121720 104512243440