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381280011120 = 24325529555571
BaseRepresentation
bin1011000110001100000…
…11110100001101110000
31100110011001121101220100
411203012003310031300
522221330140323440
6451054013512400
736355321422651
oct5430603641560
91313131541810
10381280011120
11137777698708
1261a89aa2700
1329c541c0348
141464dcb7528
159db8220230
hex58c60f4370

381280011120 has 60 divisors (see below), whose sum is σ = 1280465373096. Its totient is φ = 101674669440.

The previous prime is 381280011083. The next prime is 381280011163. The reversal of 381280011120 is 21110082183.

381280011120 is a `hidden beast` number, since 381 + 280 + 0 + 1 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264777066 + ... + 264778505.

Almost surely, 2381280011120 is an apocalyptic number.

381280011120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381280011120 is an abundant number, since it is smaller than the sum of its proper divisors (899185361976).

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

381280011120 is a wasteful number, since it uses less digits than its factorization.

381280011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529555590 (or 529555581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 381280011120 in words is "three hundred eighty-one billion, two hundred eighty million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 529555571 1059111142 1588666713 2118222284 2647777855 3177333426 4236444568 4766000139 5295555710 6354666852 7943333565 8472889136 9532000278 10591111420 12709333704 15886667130 19064000556 21182222840 23830000695 25418667408 31773334260 38128001112 42364445680 47660001390 63546668520 76256002224 95320002780 127093337040 190640005560 381280011120