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42112240440 = 23351217288361
BaseRepresentation
bin100111001110000101…
…011100101100111000
311000200212121110122220
4213032011130230320
51142221213143230
631202431244040
73020403065124
oct471605345470
9130625543586
1042112240440
11169502975a6
1281b3379620
133c8186798a
142076d22584
15116716ad10
hex9ce15cb38

42112240440 has 64 divisors (see below), whose sum is σ = 126440969760. Its totient is φ = 11220664320.

The previous prime is 42112240397. The next prime is 42112240537. The reversal of 42112240440 is 4404221124.

42112240440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42112240440.

It is a congruent 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, 1860 + ... + 290220.

Almost surely, 242112240440 is an apocalyptic number.

42112240440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42112240440 is an abundant number, since it is smaller than the sum of its proper divisors (84328729320).

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

42112240440 is a wasteful number, since it uses less digits than its factorization.

42112240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289592 (or 289588 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42112240440 its reverse (4404221124), we get a palindrome (46516461564).

The spelling of 42112240440 in words is "forty-two billion, one hundred twelve million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1217 2434 3651 4868 6085 7302 9736 12170 14604 18255 24340 29208 36510 48680 73020 146040 288361 576722 865083 1153444 1441805 1730166 2306888 2883610 3460332 4325415 5767220 6920664 8650830 11534440 17301660 34603320 350935337 701870674 1052806011 1403741348 1754676685 2105612022 2807482696 3509353370 4211224044 5264030055 7018706740 8422448088 10528060110 14037413480 21056120220 42112240440