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336136610040 = 233571136378421
BaseRepresentation
bin1001110010000110100…
…11011010000011111000
31012010121221100000112120
410321003103122003320
521001401433010130
6414230302041240
733166531020510
oct4710323320370
91163557300476
10336136610040
1111a611398280
125518b579220
132590b680aba
14123aa59a840
158b24e07910
hex4e434da0f8

336136610040 has 128 divisors (see below), whose sum is σ = 1257238264320. Its totient is φ = 69846566400.

The previous prime is 336136610011. The next prime is 336136610041. The reversal of 336136610040 is 40016631633.

It is a super-2 number, since 2×3361366100402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 336136609983 and 336136610010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336136610041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18179971 + ... + 18198450.

It is an arithmetic number, because the mean of its divisors is an integer number (9822173940).

Almost surely, 2336136610040 is an apocalyptic number.

336136610040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

336136610040 is an abundant number, since it is smaller than the sum of its proper divisors (921101654280).

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

336136610040 is a wasteful number, since it uses less digits than its factorization.

336136610040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36378453 (or 36378449 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 336136610040 in words is "three hundred thirty-six billion, one hundred thirty-six million, six hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 36378421 72756842 109135263 145513684 181892105 218270526 254648947 291027368 363784210 400162631 436541052 509297894 545676315 727568420 763946841 800325262 873082104 1018595788 1091352630 1200487893 1273244735 1455136840 1527893682 1600650524 2000813155 2037191576 2182705260 2400975786 2546489470 2801138417 3055787364 3201301048 3819734205 4001626310 4365410520 4801951572 5092978940 5602276834 6002439465 6111574728 7639468410 8003252620 8403415251 9603903144 10185957880 11204553668 12004878930 14005692085 15278936820 16006505240 16806830502 22409107336 24009757860 28011384170 30557873640 33613661004 42017076255 48019515720 56022768340 67227322008 84034152510 112045536680 168068305020 336136610040