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42647367240 = 23335349113147
BaseRepresentation
bin100111101101111110…
…110010111001001000
311002002011112201122000
4213231332302321020
51144320211222430
631331505031000
73036561432432
oct475576627110
9132064481560
1042647367240
11170a5366255
128322625460
13403869b45a
1420c801d652
151199121e60
hex9edfb2e48

42647367240 has 128 divisors (see below), whose sum is σ = 142566480000. Its totient is φ = 11339944704.

The previous prime is 42647367233. The next prime is 42647367281. The reversal of 42647367240 is 4276374624.

42647367240 is a `hidden beast` number, since 4 + 2 + 6 + 47 + 367 + 240 = 666.

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

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, 320347 + ... + 433493.

It is an arithmetic number, because the mean of its divisors is an integer number (1113800625).

Almost surely, 242647367240 is an apocalyptic number.

42647367240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42647367240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71283240000).

42647367240 is an abundant number, since it is smaller than the sum of its proper divisors (99919112760).

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

42647367240 is a wasteful number, since it uses less digits than its factorization.

42647367240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113516 (or 113506 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 42647367240 in words is "forty-two billion, six hundred forty-seven million, three hundred sixty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 349 360 540 698 1047 1080 1396 1745 2094 2792 3141 3490 4188 5235 6282 6980 8376 9423 10470 12564 13960 15705 18846 20940 25128 31410 37692 41880 47115 62820 75384 94230 113147 125640 188460 226294 339441 376920 452588 565735 678882 905176 1018323 1131470 1357764 1697205 2036646 2262940 2715528 3054969 3394410 4073292 4525880 5091615 6109938 6788820 8146584 10183230 12219876 13577640 15274845 20366460 24439752 30549690 39488303 40732920 61099380 78976606 118464909 122198760 157953212 197441515 236929818 315906424 355394727 394883030 473859636 592324545 710789454 789766060 947719272 1066184181 1184649090 1421578908 1579532120 1776973635 2132368362 2369298180 2843157816 3553947270 4264736724 4738596360 5330920905 7107894540 8529473448 10661841810 14215789080 21323683620 42647367240