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42402101322440 = 2353240132716661
BaseRepresentation
bin10011010010000100000100…
…01011111110001011001000
312120010121020100100110202102
421221002002023332023020
521024204000414304230
6230103131220052532
711634310412305226
oct1151020213761310
9176117210313672
1042402101322440
11125686a2859972
124909989b34148
131a876688cbc12
14a683b623db16
154d7e98d1c045
hex2690822fe2c8

42402101322440 has 32 divisors (see below), whose sum is σ = 95407675391160. Its totient is φ = 16960316544000.

The previous prime is 42402101322397. The next prime is 42402101322467. The reversal of 42402101322440 is 4422310120424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39247293034756 + 3154808287684 = 6264766^2 + 1776178^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15062291 + ... + 17654370.

Almost surely, 242402101322440 is an apocalyptic number.

42402101322440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42402101322440 is an abundant number, since it is smaller than the sum of its proper divisors (53005574068720).

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

42402101322440 is a wasteful number, since it uses less digits than its factorization.

42402101322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32749073 (or 32749069 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 42402101322440 its reverse (4422310120424), we get a palindrome (46824411442864).

The spelling of 42402101322440 in words is "forty-two trillion, four hundred two billion, one hundred one million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 32401 64802 129604 162005 259208 324010 648020 1296040 32716661 65433322 130866644 163583305 261733288 327166610 654333220 1308666440 1060052533061 2120105066122 4240210132244 5300262665305 8480420264488 10600525330610 21201050661220 42402101322440