Search a number
-
+
342124066156020 = 223527137139566543
BaseRepresentation
bin100110111001010001111011…
…1011011101010110111110100
31122212100202000102002012002020
41031302203313123222313310
5324320330041413443040
63211345343133513140
7132030435203134431
oct11562436733526764
91585322012065066
10342124066156020
119a014002209715
1232455b296427b0
13118b9212963685
14606ac70b5cb88
1529846734a0cd0
hex13728f76eadf4

342124066156020 has 96 divisors (see below), whose sum is σ = 961509832335360. Its totient is φ = 90893822958720.

The previous prime is 342124066156013. The next prime is 342124066156027. The reversal of 342124066156020 is 20651660421243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342124066156013) and next prime (342124066156027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342124066156027) 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, 603596869 + ... + 604163411.

It is an arithmetic number, because the mean of its divisors is an integer number (10015727420160).

Almost surely, 2342124066156020 is an apocalyptic number.

342124066156020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342124066156020 is an abundant number, since it is smaller than the sum of its proper divisors (619385766179340).

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

342124066156020 is a wasteful number, since it uses less digits than its factorization.

342124066156020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603965 (or 603963 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 342124066156020 in words is "three hundred forty-two trillion, one hundred twenty-four billion, sixty-six million, one hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 271 542 813 1084 1355 1626 2710 3252 4065 5420 8130 16260 37139 74278 111417 148556 185695 222834 371390 445668 557085 566543 742780 1114170 1133086 1699629 2228340 2266172 2832715 3399258 5665430 6798516 8498145 10064669 11330860 16996290 20129338 30194007 33992580 40258676 50323345 60388014 100646690 120776028 150970035 153533153 201293380 301940070 307066306 460599459 603880140 614132612 767665765 921198918 1535331530 1842397836 2302997295 3070663060 4605994590 9211989180 21040840477 42081680954 63122521431 84163361908 105204202385 126245042862 210408404770 252490085724 315612607155 420816809540 631225214310 1262450428620 5702067769267 11404135538534 17106203307801 22808271077068 28510338846335 34212406615602 57020677692670 68424813231204 85531016539005 114041355385340 171062033078010 342124066156020