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255132313413240 = 233513979371927139
BaseRepresentation
bin111010000000101010011110…
…111010010110011001111000
31020110100102002120221021010010
4322000222132322112121320
5231420041434213210430
62302342100003021520
7104511462365203344
oct7200523672263170
91213312076837103
10255132313413240
11743250086aa69a
122474642766a8a0
13ac48b4900b0c3
144700681400624
151e7689c404cb0
hexe80a9ee96678

255132313413240 has 128 divisors (see below), whose sum is σ = 771000920928000. Its totient is φ = 67537275813888.

The previous prime is 255132313413149. The next prime is 255132313413283. The reversal of 255132313413240 is 42314313231552.

It is a happy number.

255132313413240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131425591 + ... + 133352729.

It is an arithmetic number, because the mean of its divisors is an integer number (6023444694750).

Almost surely, 2255132313413240 is an apocalyptic number.

255132313413240 is a gapful number since it is divisible by the number (20) 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 255132313413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385500460464000).

255132313413240 is an abundant number, since it is smaller than the sum of its proper divisors (515868607514760).

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

255132313413240 is a wasteful number, since it uses less digits than its factorization.

255132313413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935229 (or 1935225 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 255132313413240 its reverse (42314313231552), we get a palindrome (297446626644792).

The spelling of 255132313413240 in words is "two hundred fifty-five trillion, one hundred thirty-two billion, three hundred thirteen million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 7937 8340 15874 16680 23811 31748 39685 47622 63496 79370 95244 119055 158740 190488 238110 317480 476220 952440 1103243 1927139 2206486 3309729 3854278 4412972 5516215 5781417 6619458 7708556 8825944 9635695 11032430 11562834 13238916 15417112 16548645 19271390 22064860 23125668 26477832 28907085 33097290 38542780 44129720 46251336 57814170 66194580 77085560 115628340 132389160 231256680 267872321 535744642 803616963 1071489284 1339361605 1607233926 2142978568 2678723210 3214467852 4018084815 5357446420 6428935704 8036169630 10714892840 15295702243 16072339260 30591404486 32144678520 45887106729 61182808972 76478511215 91774213458 122365617944 152957022430 183548426916 229435533645 305914044860 367096853832 458871067290 611828089720 917742134580 1835484269160 2126102611777 4252205223554 6378307835331 8504410447108 10630513058885 12756615670662 17008820894216 21261026117770 25513231341324 31891539176655 42522052235540 51026462682648 63783078353310 85044104471080 127566156706620 255132313413240