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342241204144 = 24724178716111
BaseRepresentation
bin1001111101011110010…
…10100101011110110000
31012201101101012112100111
410332233022211132300
521101402222013034
6421120132431104
733504025144120
oct4765712453660
91181341175314
10342241204144
11122164268174
12563b3a78494
132637230b468
14127c9234c80
158d80d01364
hex4faf2a57b0

342241204144 has 80 divisors (see below), whose sum is σ = 761978500096. Its totient is φ = 145871539200.

The previous prime is 342241204127. The next prime is 342241204169. The reversal of 342241204144 is 441402142243.

It is a happy number.

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, 21234649 + ... + 21250759.

Almost surely, 2342241204144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342241204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380989250048).

342241204144 is an abundant number, since it is smaller than the sum of its proper divisors (419737295952).

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

342241204144 is a wasteful number, since it uses less digits than its factorization.

342241204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17154 (or 17148 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 342241204144 its reverse (441402142243), we get a palindrome (783643346387).

The spelling of 342241204144 in words is "three hundred forty-two billion, two hundred forty-one million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 787 964 1574 1687 1928 3148 3374 3856 5509 6296 6748 11018 12592 13496 16111 22036 26992 32222 44072 64444 88144 112777 128888 189667 225554 257776 379334 451108 758668 902216 1327669 1517336 1804432 2655338 3034672 3882751 5310676 7765502 10621352 12679357 15531004 21242704 25358714 27179257 31062008 50717428 54358514 62124016 88755499 101434856 108717028 177510998 202869712 217434056 355021996 434868112 710043992 1420087984 3055725037 6111450074 12222900148 21390075259 24445800296 42780150518 48891600592 85560301036 171120602072 342241204144