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40178806240 = 2551392397559
BaseRepresentation
bin100101011010110101…
…111110110111100000
310211201010111211112211
4211122311332313200
51124241233244430
630242523131504
72621445134536
oct453265766740
9124633454484
1040178806240
11160489858a1
127953973b94
133a34128c81
141d32234156
1510a255672a
hex95ad7ede0

40178806240 has 96 divisors (see below), whose sum is σ = 96018048000. Its totient is φ = 15887036928.

The previous prime is 40178806189. The next prime is 40178806243. The reversal of 40178806240 is 4260887104.

It is a super-2 number, since 2×401788062402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 40178806193 and 40178806202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40178806243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5311581 + ... + 5319139.

It is an arithmetic number, because the mean of its divisors is an integer number (1000188000).

Almost surely, 240178806240 is an apocalyptic number.

40178806240 is a gapful number since it is divisible by the number (40) 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 40178806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009024000).

40178806240 is an abundant number, since it is smaller than the sum of its proper divisors (55839241760).

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

40178806240 is a wasteful number, since it uses less digits than its factorization.

40178806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 40178806240 in words is "forty billion, one hundred seventy-eight million, eight hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 239 278 478 556 695 956 1112 1195 1390 1912 2224 2390 2780 3824 4448 4780 5560 7559 7648 9560 11120 15118 19120 22240 30236 33221 37795 38240 60472 66442 75590 120944 132884 151180 166105 241888 265768 302360 332210 531536 604720 664420 1050701 1063072 1209440 1328840 1806601 2101402 2657680 3613202 4202804 5253505 5315360 7226404 8405608 9033005 10507010 14452808 16811216 18066010 21014020 28905616 33622432 36132020 42028040 57811232 72264040 84056080 144528080 168112160 251117539 289056160 502235078 1004470156 1255587695 2008940312 2511175390 4017880624 5022350780 8035761248 10044701560 20089403120 40178806240