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132014331234 = 232311134095119
BaseRepresentation
bin111101011110010101…
…0101101010101100010
3110121202022020212121100
41322330222231111202
54130331132044414
6140351353135230
712352303205112
oct1727452552542
9417668225540
10132014331234
1150a94714a95
12217033ba516
13c5ab2c8cc6
146564c15042
153679b07609
hex1ebcaad562

132014331234 has 96 divisors (see below), whose sum is σ = 298657382400. Its totient is φ = 42096983040.

The previous prime is 132014331187. The next prime is 132014331271. The reversal of 132014331234 is 432133410231.

It is a happy number.

132014331234 is a `hidden beast` number, since 1 + 3 + 201 + 433 + 1 + 23 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132014331198 and 132014331207.

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, 25786527 + ... + 25791645.

It is an arithmetic number, because the mean of its divisors is an integer number (3111014400).

Almost surely, 2132014331234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132014331234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149328691200).

132014331234 is an abundant number, since it is smaller than the sum of its proper divisors (166643051166).

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

132014331234 is a wasteful number, since it uses less digits than its factorization.

132014331234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132014331234 its reverse (432133410231), we get a palindrome (564147741465).

The spelling of 132014331234 in words is "one hundred thirty-two billion, fourteen million, three hundred thirty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 113 186 226 279 339 409 558 678 818 1017 1227 2034 2454 3503 3681 5119 7006 7362 10238 10509 12679 15357 21018 25358 30714 31527 38037 46071 46217 63054 76074 92142 92434 114111 138651 158689 228222 277302 317378 415953 476067 578447 831906 952134 1156894 1428201 1432727 1735341 2093671 2856402 2865454 3470682 4187342 4298181 5206023 6281013 8596362 10412046 12562026 12894543 17931857 18843039 25789086 35863714 37686078 53795571 64903801 107591142 129807602 161386713 194711403 236584823 322773426 389422806 473169646 584134209 709754469 1168268418 1419508938 2129263407 4258526814 7334129513 14668259026 22002388539 44004777078 66007165617 132014331234