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16234024040 = 2351365347809
BaseRepresentation
bin11110001111001111…
…11000110001101000
31112220101011212102122
433013213320301220
5231221402232130
611242515250412
71113202633103
oct170747706150
945811155378
1016234024040
1169807575a3
1231908a9a08
1316b93c3cb0
14b0008d73a
156503212e5
hex3c79f8c68

16234024040 has 64 divisors (see below), whose sum is σ = 39397352400. Its totient is φ = 5984796672.

The previous prime is 16234024031. The next prime is 16234024063. The reversal of 16234024040 is 4042043261.

It can be written as a sum of positive squares in 8 ways, for example, as 179613604 + 16054410436 = 13402^2 + 126706^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 315656 + ... + 363464.

Almost surely, 216234024040 is an apocalyptic number.

16234024040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16234024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19698676200).

16234024040 is an abundant number, since it is smaller than the sum of its proper divisors (23163328360).

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

16234024040 is a wasteful number, since it uses less digits than its factorization.

16234024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48486 (or 48482 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 16234024040 in words is "sixteen billion, two hundred thirty-four million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 653 1306 2612 3265 5224 6530 8489 13060 16978 26120 33956 42445 47809 67912 84890 95618 169780 191236 239045 339560 382472 478090 621517 956180 1243034 1912360 2486068 3107585 4972136 6215170 12430340 24860680 31219277 62438554 124877108 156096385 249754216 312192770 405850601 624385540 811701202 1248771080 1623402404 2029253005 3246804808 4058506010 8117012020 16234024040