Search a number
-
+
42409612908945 = 335595352770919
BaseRepresentation
bin10011010010010010000011…
…11010011001100110010001
312120011022121211201121022000
421221021001322121212101
521024314341401041240
6230110412431304213
711634664512606312
oct1151110172314621
9176138554647260
1042409612908945
11125708a7963aa7
12490b32567b069
131a88294bb5969
14a688c9aca609
154d82884dc430
hex269241e99991

42409612908945 has 32 divisors (see below), whose sum is σ = 75407533843200. Its totient is φ = 22614660283392.

The previous prime is 42409612908919. The next prime is 42409612908979. The reversal of 42409612908945 is 54980921690424.

42409612908945 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 9 + 612 + 9 + 0 + 8 + 9 + 4 + 5 = 666.

It is not a de Polignac number, because 42409612908945 - 224 = 42409596131729 is a prime.

It is a super-2 number, since 2×424096129089452 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25581805 + ... + 27189114.

It is an arithmetic number, because the mean of its divisors is an integer number (2356485432600).

Almost surely, 242409612908945 is an apocalyptic number.

42409612908945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42409612908945 is a deficient number, since it is larger than the sum of its proper divisors (32997920934255).

42409612908945 is a wasteful number, since it uses less digits than its factorization.

42409612908945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52776886 (or 52776880 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 42409612908945 in words is "forty-two trillion, four hundred nine billion, six hundred twelve million, nine hundred eight thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 5953 17859 29765 53577 89295 160731 267885 803655 52770919 158312757 263854595 474938271 791563785 1424814813 2374691355 7124074065 314145280807 942435842421 1570726404035 2827307527263 4712179212105 8481922581789 14136537636315 42409612908945