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380127215340 = 223254349485587
BaseRepresentation
bin1011000100000010101…
…10001111111011101100
31100100011201102022101100
411202001112033323230
522212000031342330
6450343353243100
736314623006215
oct5420126177354
91310151368340
10380127215340
111372359a3124
1261807a03490
1329acc415872
1414580b5440c
159d4be0b060
hex588158feec

380127215340 has 72 divisors (see below), whose sum is σ = 1153320058800. Its totient is φ = 101343740544.

The previous prime is 380127215291. The next prime is 380127215353. The reversal of 380127215340 is 43512721083.

380127215340 is a `hidden beast` number, since 3 + 80 + 1 + 27 + 21 + 534 + 0 = 666.

380127215340 is digitally balanced in base 4, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 380127215295 and 380127215304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540027 + ... + 1025613.

It is an arithmetic number, because the mean of its divisors is an integer number (16018334150).

Almost surely, 2380127215340 is an apocalyptic number.

380127215340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380127215340 is an abundant number, since it is smaller than the sum of its proper divisors (773192843460).

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

380127215340 is a wasteful number, since it uses less digits than its factorization.

380127215340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489951 (or 489946 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 380127215340 in words is "three hundred eighty billion, one hundred twenty-seven million, two hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4349 8698 13047 17396 21745 26094 39141 43490 52188 65235 78282 86980 130470 156564 195705 260940 391410 485587 782820 971174 1456761 1942348 2427935 2913522 4370283 4855870 5827044 7283805 8740566 9711740 14567610 17481132 21851415 29135220 43702830 87405660 2111817863 4223635726 6335453589 8447271452 10559089315 12670907178 19006360767 21118178630 25341814356 31677267945 38012721534 42236357260 63354535890 76025443068 95031803835 126709071780 190063607670 380127215340