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131536232440000 = 265415312147881
BaseRepresentation
bin11101111010000110101010…
…011010001110000011000000
3122020201202000012101002021121
4131322012222122032003000
5114220042201001040000
61143430524434402024
736464115314042053
oct3572065232160300
9566652005332247
10131536232440000
1138a03226085003
121290472a130314
135851a763343ab
14246a55d8aaa9a
15103185c7bab1a
hex77a1aa68e0c0

131536232440000 has 140 divisors (see below), whose sum is σ = 326380301002888. Its totient is φ = 52580102400000.

The previous prime is 131536232439991. The next prime is 131536232440001. The reversal of 131536232440000 is 44232635131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131536232440001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60166060 + ... + 62313940.

Almost surely, 2131536232440000 is an apocalyptic number.

131536232440000 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 131536232440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163190150501444).

131536232440000 is an abundant number, since it is smaller than the sum of its proper divisors (194844068562888).

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

131536232440000 is an equidigital number, since it uses as much as digits as its factorization.

131536232440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149444 (or 2149419 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 131536232440000 in words is "one hundred thirty-one trillion, five hundred thirty-six billion, two hundred thirty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1531 1600 2000 2500 3062 4000 5000 6124 7655 8000 10000 12248 15310 20000 24496 30620 38275 40000 48992 61240 76550 97984 122480 153100 191375 244960 306200 382750 489920 612400 765500 956875 1224800 1531000 1913750 2147881 2449600 3062000 3827500 4295762 6124000 7655000 8591524 10739405 12248000 15310000 17183048 21478810 30620000 34366096 42957620 53697025 61240000 68732192 85915240 107394050 137464384 171830480 214788100 268485125 343660960 429576200 536970250 687321920 859152400 1073940500 1342425625 1718304800 2147881000 2684851250 3288405811 3436609600 4295762000 5369702500 6576811622 8591524000 10739405000 13153623244 16442029055 17183048000 21478810000 26307246488 32884058110 42957620000 52614492976 65768116220 82210145275 85915240000 105228985952 131536232440 164420290550 210457971904 263072464880 328840581100 411050726375 526144929760 657681162200 822101452750 1052289859520 1315362324400 1644202905500 2055253631875 2630724648800 3288405811000 4110507263750 5261449297600 6576811622000 8221014527500 13153623244000 16442029055000 26307246488000 32884058110000 65768116220000 131536232440000