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16040887040 = 285149151557
BaseRepresentation
bin11101111000001110…
…01000001100000000
31112101220202111021102
432330013020030000
5230322431341130
611211415513532
71105336201343
oct167407101400
945356674242
1016040887040
116891731942
1231380888a8
1316883a0749
14ac257645a
1563d3c0645
hex3bc1c8300

16040887040 has 144 divisors (see below), whose sum is σ = 39006878400. Its totient is φ = 6319718400.

The previous prime is 16040886997. The next prime is 16040887061. The reversal of 16040887040 is 4078804061.

It is a junction number, because it is equal to n+sod(n) for n = 16040886985 and 16040887003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28798442 + ... + 28798998.

It is an arithmetic number, because the mean of its divisors is an integer number (270881100).

Almost surely, 216040887040 is an apocalyptic number.

16040887040 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 16040887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503439200).

16040887040 is an abundant number, since it is smaller than the sum of its proper divisors (22965991360).

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

16040887040 is a wasteful number, since it uses less digits than its factorization.

16040887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 16040887040 in words is "sixteen billion, forty million, eight hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 151 160 256 298 302 320 557 596 604 640 745 755 1114 1192 1208 1280 1490 1510 2228 2384 2416 2785 2980 3020 4456 4768 4832 5570 5960 6040 8912 9536 9664 11140 11920 12080 17824 19072 19328 22280 22499 23840 24160 35648 38144 38656 44560 44998 47680 48320 71296 82993 84107 89120 89996 95360 96640 112495 142592 165986 168214 178240 179992 190720 193280 224990 331972 336428 356480 359984 414965 420535 449980 663944 672856 712960 719968 829930 841070 899960 1327888 1345712 1439936 1659860 1682140 1799920 2655776 2691424 2879872 3319720 3364280 3599840 5311552 5382848 5759744 6639440 6728560 7199680 10623104 10765696 12531943 13278880 13457120 14399360 21246208 21531392 25063886 26557760 26914240 28798720 50127772 53115520 53828480 62659715 100255544 106231040 107656960 125319430 200511088 250638860 401022176 501277720 802044352 1002555440 1604088704 2005110880 3208177408 4010221760 8020443520 16040887040