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123432142314 = 231321315871583
BaseRepresentation
bin111001011110100100…
…0010000010111101010
3102210121012100111122110
41302331020100113222
54010242112023224
6132412015103150
711626522620135
oct1627510202752
9383535314573
10123432142314
1148390254478
121bb09211ab6
13b841285300
145d8d0bd21c
15332645b929
hex1cbd2105ea

123432142314 has 96 divisors (see below), whose sum is σ = 269984461824. Its totient is φ = 37601229120.

The previous prime is 123432142307. The next prime is 123432142321. The reversal of 123432142314 is 413241234321.

It is an interprime number because it is at equal distance from previous prime (123432142307) and next prime (123432142321).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77972767 + ... + 77974349.

It is an arithmetic number, because the mean of its divisors is an integer number (2812338144).

Almost surely, 2123432142314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123432142314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134992230912).

123432142314 is an abundant number, since it is smaller than the sum of its proper divisors (146552319510).

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

123432142314 is a wasteful number, since it uses less digits than its factorization.

123432142314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2319 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 123432142314 its reverse (413241234321), we get a palindrome (536673376635).

The spelling of 123432142314 in words is "one hundred twenty-three billion, four hundred thirty-two million, one hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 131 169 262 338 393 507 587 786 1014 1174 1583 1703 1761 3166 3406 3522 4749 5109 7631 9498 10218 15262 20579 22139 22893 41158 44278 45786 61737 66417 76897 99203 123474 132834 153794 198406 207373 230691 267527 297609 414746 461382 535054 595218 622119 802581 929221 999661 1244238 1605162 1858442 1999322 2695849 2787663 2998983 5391698 5575326 5997966 8087547 12079873 12995593 16175094 24159746 25991186 35046037 36239619 38986779 70092074 72479238 77973558 105138111 121727951 157038349 210276222 243455902 314076698 365183853 471115047 730367706 942230094 1582463363 3164926726 4747390089 9494780178 20572023719 41144047438 61716071157 123432142314