Search a number
-
+
114010505430042 = 231311719124726781
BaseRepresentation
bin11001111011000100100011…
…101011010100010000011010
3112221200022001011001121211210
4121323010203223110100122
5104420422003342230132
61042251411513403550
733004662415305624
oct3173044353242032
9487608034047753
10114010505430042
1133366647081951
1210953bbb7095b6
134b801b56c0b90
1420221d05adc14
15d2aa1cb17bcc
hex67b123ad441a

114010505430042 has 32 divisors (see below), whose sum is σ = 245582044686720. Its totient is φ = 35077161792960.

The previous prime is 114010505430037. The next prime is 114010505430061. The reversal of 114010505430042 is 240034505010411.

It is a super-2 number, since 2×1140105054300422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114010505429991 and 114010505430009.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61449309 + ... + 63277472.

It is an arithmetic number, because the mean of its divisors is an integer number (7674438896460).

Almost surely, 2114010505430042 is an apocalyptic number.

114010505430042 is an abundant number, since it is smaller than the sum of its proper divisors (131571539256678).

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

114010505430042 is a wasteful number, since it uses less digits than its factorization.

114010505430042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124738518.

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 114010505430042 in words is "one hundred fourteen trillion, ten billion, five hundred five million, four hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 78 11719 23438 35157 70314 152347 304694 457041 914082 124726781 249453562 374180343 748360686 1621448153 3242896306 4864344459 9728688918 1461673146539 2923346293078 4385019439617 8770038879234 19001750905007 38003501810014 57005252715021 114010505430042