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6401431694238 = 2377111811817689
BaseRepresentation
bin101110100100111001100…
…0011111110101110011110
3211122222012210002112011120
41131021303003332232132
51314340113003203423
621340435505231410
71230326305420650
oct135116303765636
924588183075146
106401431694238
112048917340929
12874782632566
13375863495a99
14181b8c1946d0
15b17b13d6ee3
hex5d2730feb9e

6401431694238 has 64 divisors (see below), whose sum is σ = 14850498216960. Its totient is φ = 1801692345600.

The previous prime is 6401431694237. The next prime is 6401431694249. The reversal of 6401431694238 is 8324961341046.

It is a super-2 number, since 2×64014316942382 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401431694233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2612898 + ... + 4430586.

It is an arithmetic number, because the mean of its divisors is an integer number (232039034640).

Almost surely, 26401431694238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401431694238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7425249108480).

6401431694238 is an abundant number, since it is smaller than the sum of its proper divisors (8449066522722).

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

6401431694238 is a wasteful number, since it uses less digits than its factorization.

6401431694238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818953.

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 6401431694238 in words is "six trillion, four hundred one billion, four hundred thirty-one million, six hundred ninety-four thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1181 1491 2362 2982 3543 7086 8267 16534 24801 49602 83851 167702 251553 503106 586957 1173914 1760871 1817689 3521742 3635378 5453067 10906134 12723823 25447646 38171469 76342938 129055919 258111838 387167757 774335514 903391433 1806782866 2146690709 2710174299 4293381418 5420348598 6440072127 12880144254 15026834963 30053669926 45080504889 90161009778 152415040339 304830080678 457245121017 914490242034 1066905282373 2133810564746 3200715847119 6401431694238