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134311310430 = 23511279468359
BaseRepresentation
bin111110100010110010…
…0111111010001011110
3110211200101102111200220
41331011210333101132
54200032143413210
6141411325302210
712463234205343
oct1750544772136
9424611374626
10134311310430
1151a63262500
1222044704966
13c8861541ab
146701cd87ca
1537615cdc70
hex1f4593f45e

134311310430 has 96 divisors (see below), whose sum is σ = 358801228800. Its totient is φ = 32148093120.

The previous prime is 134311310417. The next prime is 134311310431. The reversal of 134311310430 is 34013113431.

It is a self number, because there is not a number n which added to its sum of digits gives 134311310430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134311310431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52591 + ... + 520949.

It is an arithmetic number, because the mean of its divisors is an integer number (3737512800).

Almost surely, 2134311310430 is an apocalyptic number.

134311310430 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 134311310430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179400614400).

134311310430 is an abundant number, since it is smaller than the sum of its proper divisors (224489918370).

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

134311310430 is a wasteful number, since it uses less digits than its factorization.

134311310430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468470 (or 468459 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 134311310430 its reverse (34013113431), we get a palindrome (168324423861).

The spelling of 134311310430 in words is "one hundred thirty-four billion, three hundred eleven million, three hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 121 158 165 237 242 330 363 395 474 605 726 790 869 1185 1210 1738 1815 2370 2607 3630 4345 5214 8690 9559 13035 19118 26070 28677 47795 57354 95590 143385 286770 468359 936718 1405077 2341795 2810154 4683590 5151949 7025385 10303898 14050770 15455847 25759745 30911694 37000361 51519490 56671439 74000722 77279235 111001083 113342878 154558470 170014317 185001805 222002166 283357195 340028634 370003610 407003971 555005415 566714390 814007942 850071585 1110010830 1221011913 1700143170 2035019855 2442023826 4070039710 4477043681 6105059565 8954087362 12210119130 13431131043 22385218405 26862262086 44770436810 67155655215 134311310430