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1385142079320 = 2332514092730743
BaseRepresentation
bin10100001010000000111…
…001101100111101011000
311220102021221012012222100
4110022000321230331120
5140143232333014240
62540154145523400
7202034053261026
oct24120071547530
94812257165870
101385142079320
114944876585aa
121a4549343560
13a080664572c
144b08120b716
152606da62e30
hex14280e6cf58

1385142079320 has 96 divisors (see below), whose sum is σ = 4504908376800. Its totient is φ = 369108934656.

The previous prime is 1385142079213. The next prime is 1385142079369. The reversal of 1385142079320 is 239702415831.

It is a happy number.

1385142079320 is a `hidden beast` number, since 1 + 3 + 8 + 514 + 20 + 7 + 93 + 20 = 666.

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

It is a congruent number.

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, 858132 + ... + 1872611.

It is an arithmetic number, because the mean of its divisors is an integer number (46926128925).

Almost surely, 21385142079320 is an apocalyptic number.

1385142079320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1385142079320 is an abundant number, since it is smaller than the sum of its proper divisors (3119766297480).

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

1385142079320 is a wasteful number, since it uses less digits than its factorization.

1385142079320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732169 (or 2732162 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1385142079320 in words is "one trillion, three hundred eighty-five billion, one hundred forty-two million, seventy-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1409 2818 4227 5636 7045 8454 11272 12681 14090 16908 21135 25362 28180 33816 42270 50724 56360 63405 84540 101448 126810 169080 253620 507240 2730743 5461486 8192229 10922972 13653715 16384458 21845944 24576687 27307430 32768916 40961145 49153374 54614860 65537832 81922290 98306748 109229720 122883435 163844580 196613496 245766870 327689160 491533740 983067480 3847616887 7695233774 11542850661 15390467548 19238084435 23085701322 30780935096 34628551983 38476168870 46171402644 57714253305 69257103966 76952337740 92342805288 115428506610 138514207932 153904675480 173142759915 230857013220 277028415864 346285519830 461714026440 692571039660 1385142079320