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6440004000446 = 2101101340737727
BaseRepresentation
bin101110110110110111000…
…1001101001101010111110
3211210122202221200200222012
41131231232021221222332
51321003112011003241
621410255203451222
71233163205544122
oct135555611515276
924718687620865
106440004000446
112063210405445
12880148386b12
1337939c821503
141839aacc1582
15b27bc8a86eb
hex5db6e269abe

6440004000446 has 32 divisors (see below), whose sum is σ = 9768941739648. Its totient is φ = 3183779526400.

The previous prime is 6440004000379. The next prime is 6440004000457.

6440004000446 is nontrivially palindromic in base 10.

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, 833437835 + ... + 833445561.

It is an arithmetic number, because the mean of its divisors is an integer number (305279429364).

Almost surely, 26440004000446 is an apocalyptic number.

6440004000446 is a deficient number, since it is larger than the sum of its proper divisors (3328937739202).

6440004000446 is a wasteful number, since it uses less digits than its factorization.

6440004000446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12916.

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 6440004000446 in words is "six trillion, four hundred forty billion, four million, four hundred forty-six", and thus it is an aban number.

Divisors: 1 2 101 202 1013 2026 4073 7727 8146 15454 102313 204626 411373 780427 822746 1560854 4125949 7827451 8251898 15654902 31472071 62944142 416720849 790572551 833441698 1581145102 3178679171 6357358342 31881207923 63762415846 3220002000223 6440004000446