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493340043240 = 2332511211325529
BaseRepresentation
bin1110010110111010101…
…10111010011111101000
31202011101201022212002100
413023131112322133220
531040330022340430
61014345353133400
750433266114652
oct7133526723750
91664351285070
10493340043240
11180251658400
127b7426ba260
13376a2423065
1419c409016d2
15cc760d7960
hex72dd5ba7e8

493340043240 has 144 divisors (see below), whose sum is σ = 1762365723300. Its totient is φ = 119597575680.

The previous prime is 493340043143. The next prime is 493340043247. The reversal of 493340043240 is 42340043394.

It is a happy number.

493340043240 is a `hidden beast` number, since 4 + 9 + 3 + 3 + 400 + 4 + 3 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 448147235844 + 45192807396 = 669438^2 + 212586^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 493340043195 and 493340043204.

It is not an unprimeable number, because it can be changed into a prime (493340043247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5619205 + ... + 5706324.

Almost surely, 2493340043240 is an apocalyptic number.

493340043240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493340043240 is an abundant number, since it is smaller than the sum of its proper divisors (1269025680060).

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

493340043240 is a wasteful number, since it uses less digits than its factorization.

493340043240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325568 (or 11325550 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 493340043240 in words is "four hundred ninety-three billion, three hundred forty million, forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 11325529 22651058 33976587 45302116 56627645 67953174 90604232 101929761 113255290 124580819 135906348 169882935 203859522 226510580 249161638 271812696 339765870 373742457 407719044 453021160 498323276 509648805 622904095 679531740 747484914 815438088 996646552 1019297610 1121227371 1245808190 1359063480 1370389009 1494969828 1868712285 2038595220 2242454742 2491616380 2740778018 2989939656 3737424570 4077190440 4111167027 4484909484 4983232760 5481556036 5606136855 6851945045 7474849140 8222334054 8969818968 10963112072 11212273710 12333501081 13703890090 14949698280 16444668108 20555835135 22424547420 24667002162 27407780180 32889336216 41111670270 44849094840 49334004324 54815560360 61667505405 82223340540 98668008648 123335010810 164446681080 246670021620 493340043240