Search a number
-
+
1503005000042 = 2713171925567397
BaseRepresentation
bin10101110111110010000…
…101000100000101101010
312022200112000001221211102
4111313302011010011222
5144111123240000132
63110245421201402
7213405602464430
oct25676205040552
95280460057742
101503005000042
1152a46a1593a7
12203361400262
13ab96ab5b940
1452a627b4d50
152916b0c9c62
hex15df214416a

1503005000042 has 64 divisors (see below), whose sum is σ = 3092632462080. Its totient is φ = 530165523456.

The previous prime is 1503005000039. The next prime is 1503005000051. The reversal of 1503005000042 is 2400005003051.

It is a junction number, because it is equal to n+sod(n) for n = 1503004999978 and 1503005000023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12724913 + ... + 12842484.

It is an arithmetic number, because the mean of its divisors is an integer number (48322382220).

Almost surely, 21503005000042 is an apocalyptic number.

1503005000042 is an abundant number, since it is smaller than the sum of its proper divisors (1589627462038).

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

1503005000042 is a wasteful number, since it uses less digits than its factorization.

1503005000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25567455.

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 1503005000042 in words is "one trillion, five hundred three billion, five million, forty-two", and thus it is an aban number.

Divisors: 1 2 7 13 14 17 19 26 34 38 91 119 133 182 221 238 247 266 323 442 494 646 1547 1729 2261 3094 3458 4199 4522 8398 29393 58786 25567397 51134794 178971779 332376161 357943558 434645749 485780543 664752322 869291498 971561086 2326633127 3042520243 3400463801 4653266254 5650394737 6085040486 6315147059 6800927602 8258269231 11300789474 12630294118 16516538462 39552763159 44206029413 57807884617 79105526318 88412058826 107357500003 115615769234 214715000006 751502500021 1503005000042