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42129187740 = 22325892629787
BaseRepresentation
bin100111001111000110…
…000110001110011100
311000202001111110222200
4213033012012032130
51142240033001430
631204234411500
73021000121143
oct471706061634
9130661443880
1042129187740
1116959912332
1281b8b90b90
133c8521c773
14207929475a
1511688b7460
hex9cf18639c

42129187740 has 72 divisors (see below), whose sum is σ = 129227782320. Its totient is φ = 11108216064.

The previous prime is 42129187729. The next prime is 42129187769. The reversal of 42129187740 is 4778192124.

42129187740 is a `hidden beast` number, since 421 + 2 + 9 + 187 + 7 + 40 = 666.

42129187740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1298874 + ... + 1330913.

It is an arithmetic number, because the mean of its divisors is an integer number (1794830310).

Almost surely, 242129187740 is an apocalyptic number.

It is an amenable number.

42129187740 is an abundant number, since it is smaller than the sum of its proper divisors (87098594580).

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

42129187740 is a wasteful number, since it uses less digits than its factorization.

42129187740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629891 (or 2629886 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 42129187740 in words is "forty-two billion, one hundred twenty-nine million, one hundred eighty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 8010 16020 2629787 5259574 7889361 10519148 13148935 15778722 23668083 26297870 31557444 39446805 47336166 52595740 78893610 94672332 118340415 157787220 234051043 236680830 468102086 473361660 702153129 936204172 1170255215 1404306258 2106459387 2340510430 2808612516 3510765645 4212918774 4681020860 7021531290 8425837548 10532296935 14043062580 21064593870 42129187740