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102003414444 = 223231712912821
BaseRepresentation
bin101111011111111100…
…0001001010110101100
3100202021210102100012200
41132333320021112230
53132400333230234
6114505411101500
710240511500641
oct1367770112654
9322253370180
10102003414444
113a2942a5018
12179288a1890
1398078b0c89
144d19167dc8
1529c0073d99
hex17bfe095ac

102003414444 has 72 divisors (see below), whose sum is σ = 266217544320. Its totient is φ = 32897145600.

The previous prime is 102003414397. The next prime is 102003414479. The reversal of 102003414444 is 444414300201.

102003414444 is a `hidden beast` number, since 1 + 0 + 200 + 3 + 4 + 14 + 444 = 666.

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, 7949554 + ... + 7962374.

Almost surely, 2102003414444 is an apocalyptic number.

It is an amenable number.

102003414444 is an abundant number, since it is smaller than the sum of its proper divisors (164214129876).

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

102003414444 is a wasteful number, since it uses less digits than its factorization.

102003414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19991 (or 19986 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102003414444 its reverse (444414300201), we get a palindrome (546417714645).

The spelling of 102003414444 in words is "one hundred two billion, three million, four hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 7129 12821 14258 21387 25642 28516 38463 42774 51284 64161 76926 85548 115389 128322 153852 220999 230778 256644 397451 441998 461556 662997 794902 883996 1192353 1325994 1589804 1988991 2384706 2651988 3577059 3977982 4769412 7154118 7955964 14308236 91400909 182801818 274202727 365603636 548405454 822608181 1096810908 1645216362 2833428179 3290432724 5666856358 8500284537 11333712716 17000569074 25500853611 34001138148 51001707222 102003414444