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42121424340 = 223251867125339
BaseRepresentation
bin100111001110101000…
…011110110111010100
311000201111220001121100
4213032220132313110
51142231041034330
631203400150100
73020544125262
oct471650366724
9130644801540
1042121424340
111695549a5a6
1281b6468330
133c83731c38
142078233432
151167d82060
hex9cea1edd4

42121424340 has 72 divisors (see below), whose sum is σ = 127837775520. Its totient is φ = 11226273984.

The previous prime is 42121424329. The next prime is 42121424363. The reversal of 42121424340 is 4342412124.

42121424340 is a `hidden beast` number, since 4 + 212 + 14 + 2 + 434 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273391 + ... + 398729.

It is an arithmetic number, because the mean of its divisors is an integer number (1775524660).

Almost surely, 242121424340 is an apocalyptic number.

It is an amenable number.

42121424340 is an abundant number, since it is smaller than the sum of its proper divisors (85716351180).

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

42121424340 is a wasteful number, since it uses less digits than its factorization.

42121424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127221 (or 127216 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42121424340 its reverse (4342412124), we get a palindrome (46463836464).

The spelling of 42121424340 in words is "forty-two billion, one hundred twenty-one million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1867 3734 5601 7468 9335 11202 16803 18670 22404 28005 33606 37340 56010 67212 84015 112020 125339 168030 250678 336060 376017 501356 626695 752034 1128051 1253390 1504068 1880085 2256102 2506780 3760170 4512204 5640255 7520340 11280510 22561020 234007913 468015826 702023739 936031652 1170039565 1404047478 2106071217 2340079130 2808094956 3510118695 4212142434 4680158260 7020237390 8424284868 10530356085 14040474780 21060712170 42121424340