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432142211004 = 22373104990819
BaseRepresentation
bin1100100100111011010…
…11101101011110111100
31112022102201210212102020
412102131223231132330
524040011401223004
6530305015200140
743135613121000
oct6223553553674
91468381725366
10432142211004
111572a8015249
126b903676050
133199b7802ca
1416cb6d24700
15b3936268d9
hex649daed7bc

432142211004 has 48 divisors (see below), whose sum is σ = 1175897184000. Its totient is φ = 123469201968.

The previous prime is 432142210987. The next prime is 432142211057. The reversal of 432142211004 is 400112241234.

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, 52491294 + ... + 52499525.

It is an arithmetic number, because the mean of its divisors is an integer number (24497858000).

Almost surely, 2432142211004 is an apocalyptic number.

It is an amenable number.

432142211004 is an abundant number, since it is smaller than the sum of its proper divisors (743754972996).

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

432142211004 is a wasteful number, since it uses less digits than its factorization.

432142211004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104990847 (or 104990831 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 432142211004 its reverse (400112241234), we get a palindrome (832254452238).

The spelling of 432142211004 in words is "four hundred thirty-two billion, one hundred forty-two million, two hundred eleven thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 104990819 209981638 314972457 419963276 629944914 734935733 1259889828 1469871466 2204807199 2939742932 4409614398 5144550131 8819228796 10289100262 15433650393 20578200524 30867300786 36011850917 61734601572 72023701834 108035552751 144047403668 216071105502 432142211004