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142031222334 = 23361276715583
BaseRepresentation
bin1000010001000110111…
…0000111011000111110
3111120121101210122222000
42010101232013120332
54311334443103314
6145125342003130
713155444320211
oct2042156073076
9446541718860
10142031222334
1155264a16591
1223639b764a6
131051664b7c1
146c352d3778
153a64200209
hex2111b8763e

142031222334 has 64 divisors (see below), whose sum is σ = 320935649280. Its totient is φ = 46547796960.

The previous prime is 142031222257. The next prime is 142031222339. The reversal of 142031222334 is 433222130241.

142031222334 is a `hidden beast` number, since 1 + 4 + 203 + 122 + 2 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142031222298 and 142031222307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142031222339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9106707 + ... + 9122289.

It is an arithmetic number, because the mean of its divisors is an integer number (5014619520).

Almost surely, 2142031222334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142031222334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160467824640).

142031222334 is an abundant number, since it is smaller than the sum of its proper divisors (178904426946).

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

142031222334 is a wasteful number, since it uses less digits than its factorization.

142031222334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18422 (or 18416 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 142031222334 its reverse (433222130241), we get a palindrome (575253352575).

The spelling of 142031222334 in words is "one hundred forty-two billion, thirty-one million, two hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 2767 3294 5534 8301 15583 16602 24903 31166 46749 49806 74709 93498 140247 149418 168787 280494 337574 420741 506361 841482 950563 1012722 1519083 1901126 2851689 3038166 4557249 5703378 8555067 9114498 17110134 25665201 43118161 51330402 86236322 129354483 258708966 388063449 776126898 1164190347 2328380694 2630207821 5260415642 7890623463 15781246926 23671870389 47343740778 71015611167 142031222334