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134334357630 = 235111495994561
BaseRepresentation
bin111110100011011110…
…0111010000001111110
3110211201222210102111220
41331012330322001332
54200104043421010
6141413511254210
712463634125344
oct1750674720176
9424658712456
10134334357630
1151a75274180
122205037a366
13c88ab635a5
146704db7994
153763632970
hex1f46f3a07e

134334357630 has 128 divisors (see below), whose sum is σ = 354741120000. Its totient is φ = 32286259200.

The previous prime is 134334357529. The next prime is 134334357673. The reversal of 134334357630 is 36753433431.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29450550 + ... + 29455110.

It is an arithmetic number, because the mean of its divisors is an integer number (2771415000).

Almost surely, 2134334357630 is an apocalyptic number.

134334357630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134334357630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177370560000).

134334357630 is an abundant number, since it is smaller than the sum of its proper divisors (220406762370).

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

134334357630 is a wasteful number, since it uses less digits than its factorization.

134334357630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330.

The product of its (nonzero) digits is 816480, while the sum is 42.

The spelling of 134334357630 in words is "one hundred thirty-four billion, three hundred thirty-four million, three hundred fifty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 149 165 298 330 447 599 745 894 1198 1490 1639 1797 2235 2995 3278 3594 4470 4561 4917 5990 6589 8195 8985 9122 9834 13178 13683 16390 17970 19767 22805 24585 27366 32945 39534 45610 49170 50171 65890 68415 89251 98835 100342 136830 150513 178502 197670 250855 267753 301026 446255 501710 535506 679589 752565 892510 981761 1338765 1359178 1505130 1963522 2038767 2677530 2732039 2945283 3397945 4077534 4908805 5464078 5890566 6795890 7475479 8196117 9817610 10193835 13660195 14726415 14950958 16392234 20387670 22426437 27320390 29452830 30052429 37377395 40980585 44852874 60104858 74754790 81961170 90157287 112132185 150262145 180314574 224264370 300524290 407073811 450786435 814147622 901572870 1221221433 2035369055 2442442866 4070738110 4477811921 6106107165 8955623842 12212214330 13433435763 22389059605 26866871526 44778119210 67167178815 134334357630