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642240293331 = 37133317107337
BaseRepresentation
bin10010101100010001000…
…00010010100111010011
32021101201211102021200210
421112020200102213103
541010302003341311
61211012514215203
764254212264160
oct11261040224723
92241654367623
10642240293331
112284109a212a
12a4578b84503
1348741bab610
14231281bb067
1511a8d3803a6
hex95888129d3

642240293331 has 32 divisors (see below), whose sum is σ = 1057117024768. Its totient is φ = 337740606720.

The previous prime is 642240293323. The next prime is 642240293341. The reversal of 642240293331 is 133392042246.

It is not a de Polignac number, because 642240293331 - 23 = 642240293323 is a prime.

It is a super-2 number, since 2×6422402933312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 642240293331.

It is not an unprimeable number, because it can be changed into a prime (642240293341) 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, 3463306 + ... + 3644031.

It is an arithmetic number, because the mean of its divisors is an integer number (33034907024).

Almost surely, 2642240293331 is an apocalyptic number.

642240293331 is a deficient number, since it is larger than the sum of its proper divisors (414876731437).

642240293331 is a wasteful number, since it uses less digits than its factorization.

642240293331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7107691.

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 642240293331 in words is "six hundred forty-two billion, two hundred forty million, two hundred ninety-three thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 331 993 2317 4303 6951 12909 30121 90363 7107337 21322011 49751359 92395381 149254077 277186143 646767667 1940303001 2352528547 7057585641 16467699829 30582871111 49403099487 91748613333 214080097777 642240293331