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1000412042424 = 233167457546179
BaseRepresentation
bin11101000111011010011…
…01000101010010111000
310112122020102202100102120
432203231031011102320
5112342320440324144
62043325530001240
7132164100024624
oct16435515052270
93478212670376
101000412042424
113562aa576523
12141a77b76220
1373452765522
14365c5064184
151b052a07e19
hexe8ed3454b8

1000412042424 has 64 divisors (see below), whose sum is σ = 2521516435200. Its totient is φ = 330747919104.

The previous prime is 1000412042419. The next prime is 1000412042471. The reversal of 1000412042424 is 4242402140001.

1000412042424 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 1000412042394 and 1000412042403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1558567 + ... + 2104745.

It is an arithmetic number, because the mean of its divisors is an integer number (39398694300).

Almost surely, 21000412042424 is an apocalyptic number.

It is an amenable number.

1000412042424 is an abundant number, since it is smaller than the sum of its proper divisors (1521104392776).

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

1000412042424 is a wasteful number, since it uses less digits than its factorization.

1000412042424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546812 (or 546808 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1000412042424 its reverse (4242402140001), we get a palindrome (5242814182425).

The spelling of 1000412042424 in words is "one trillion, four hundred twelve million, forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 167 334 457 501 668 914 1002 1336 1371 1828 2004 2742 3656 4008 5484 10968 76319 152638 228957 305276 457914 546179 610552 915828 1092358 1638537 1831656 2184716 3277074 4369432 6554148 13108296 91211893 182423786 249603803 273635679 364847572 499207606 547271358 729695144 748811409 998415212 1094542716 1497622818 1996830424 2189085432 2995245636 5990491272 41683835101 83367670202 125051505303 166735340404 250103010606 333470680808 500206021212 1000412042424