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232254000134040 = 233521376361142381
BaseRepresentation
bin110100110011101111011001…
…001011001111011110011000
31010110100021011121020101110110
4310303233121023033132120
5220420222143013242130
62141544003102044320
766630540431024163
oct6463573113173630
91113307147211413
10232254000134040
1168004406254335
122207046a8796a0
139c795c598baa1
14414d22161cada
151bcb6d5e0eab0
hexd33bd92cf798

232254000134040 has 128 divisors (see below), whose sum is σ = 697202531709120. Its totient is φ = 61895251353600.

The previous prime is 232254000134029. The next prime is 232254000134041. The reversal of 232254000134040 is 40431000452232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232254000133989 and 232254000134007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232254000134041) 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, 1631143650 + ... + 1631286030.

Almost surely, 2232254000134040 is an apocalyptic number.

232254000134040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232254000134040 is an abundant number, since it is smaller than the sum of its proper divisors (464948531575080).

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

232254000134040 is a wasteful number, since it uses less digits than its factorization.

232254000134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150893 (or 150889 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 232254000134040 its reverse (40431000452232), we get a palindrome (272685000586272).

The spelling of 232254000134040 in words is "two hundred thirty-two trillion, two hundred fifty-four billion, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2137 4274 6361 6411 8548 10685 12722 12822 17096 19083 21370 25444 25644 31805 32055 38166 42740 50888 51288 63610 64110 76332 85480 95415 127220 128220 142381 152664 190830 254440 256440 284762 381660 427143 569524 711905 763320 854286 1139048 1423810 1708572 2135715 2847620 3417144 4271430 5695240 8542860 13593457 17085720 27186914 40780371 54373828 67967285 81560742 108747656 135934570 163121484 203901855 271869140 304268197 326242968 407803710 543738280 608536394 815607420 905685541 912804591 1217072788 1521340985 1631214840 1811371082 1825609182 2434145576 2717056623 3042681970 3622742164 3651218364 4528427705 4564022955 5434113246 6085363940 7245484328 7302436728 9056855410 9128045910 10868226492 12170727880 13585283115 18113710820 18256091820 21736452984 27170566230 36227421640 36512183640 54341132460 108682264920 1935450001117 3870900002234 5806350003351 7741800004468 9677250005585 11612700006702 15483600008936 19354500011170 23225400013404 29031750016755 38709000022340 46450800026808 58063500033510 77418000044680 116127000067020 232254000134040