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42285569973120 = 273257341244787
BaseRepresentation
bin10011001110101011000000…
…11000001001101110000000
312112201110110002001120110200
421213111200120021232000
521020301321403114440
6225533420032525200
711623013562214065
oct1147254030115600
9175643402046420
1042285569973120
111252323395a401
1248ab2879b0800
131a79687225c96
14a628bd854c6c
154d4e2862ec30
hex267560609b80

42285569973120 has 96 divisors (see below), whose sum is σ = 146017358833320. Its totient is φ = 11276151991296.

The previous prime is 42285569973103. The next prime is 42285569973133. The reversal of 42285569973120 is 2137996558224.

42285569973120 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 556 + 9 + 9 + 73 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3670616634 + ... + 3670628153.

It is a 2-persistent number, because it is pandigital, and so is 2⋅42285569973120 = 84571139946240, but 3⋅42285569973120 = 126856709919360 is not.

Almost surely, 242285569973120 is an apocalyptic number.

42285569973120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42285569973120 is an abundant number, since it is smaller than the sum of its proper divisors (103731788860200).

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

42285569973120 is a wasteful number, since it uses less digits than its factorization.

42285569973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7341244812 (or 7341244797 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 42285569973120 in words is "forty-two trillion, two hundred eighty-five billion, five hundred sixty-nine million, nine hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 7341244787 14682489574 22023734361 29364979148 36706223935 44047468722 58729958296 66071203083 73412447870 88094937444 110118671805 117459916592 132142406166 146824895740 176189874888 220237343610 234919833184 264284812332 293649791480 330356015415 352379749776 440474687220 469839666368 528569624664 587299582960 660712030830 704759499552 880949374440 939679332736 1057139249328 1174599165920 1321424061660 1409518999104 1761898748880 2114278498656 2349198331840 2642848123320 2819037998208 3523797497760 4228556997312 4698396663680 5285696246640 7047594995520 8457113994624 10571392493280 14095189991040 21142784986560 42285569973120