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80040080400 = 2435279528581
BaseRepresentation
bin100101010001011000…
…0101011010000010000
321122121010112100222020
41022202300223100100
52302410230033100
6100434144411440
75532316313040
oct1124260532020
9248533470866
1080040080400
1130a435a2085
1213619316b80
137717529127
143c3420d720
152136c895a0
hex12a2c2b410

80040080400 has 120 divisors (see below), whose sum is σ = 293022953664. Its totient is φ = 18294873600.

The previous prime is 80040080399. The next prime is 80040080401. The reversal of 80040080400 is 408004008.

It is an interprime number because it is at equal distance from previous prime (80040080399) and next prime (80040080401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (80040080401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4755891 + ... + 4772690.

Almost surely, 280040080400 is an apocalyptic number.

80040080400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80040080400 is an abundant number, since it is smaller than the sum of its proper divisors (212982873264).

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

80040080400 is a wasteful number, since it uses less digits than its factorization.

80040080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528609 (or 9528598 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 80040080400 its reverse (408004008), we get a palindrome (80448084408).

The spelling of 80040080400 in words is "eighty billion, forty million, eighty thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 9528581 19057162 28585743 38114324 47642905 57171486 66700067 76228648 95285810 114342972 133400134 142928715 152457296 190571620 200100201 228685944 238214525 266800268 285857430 333500335 381143240 400200402 457371888 476429050 533600536 571714860 667000670 714643575 762286480 800400804 952858100 1000501005 1067201072 1143429720 1334001340 1429287150 1600801608 1667501675 1905716200 2001002010 2286859440 2668002680 2858574300 3201603216 3335003350 3811432400 4002004020 5002505025 5336005360 5717148600 6670006700 8004008040 10005010050 11434297200 13340013400 16008016080 20010020100 26680026800 40020040200 80040080400