Search a number
-
+
40178803456 = 281141348001
BaseRepresentation
bin100101011010110101…
…111110001100000000
310211201010111200201201
4211122311332030000
51124241233202311
630242523110544
72621445123451
oct453265761400
9124633450651
1040178803456
11160489837a0
127953972454
133a3412791c
141d32233128
1510a25559c1
hex95ad7e300

40178803456 has 72 divisors (see below), whose sum is σ = 89625827088. Its totient is φ = 17817600000.

The previous prime is 40178803439. The next prime is 40178803499. The reversal of 40178803456 is 65430887104.

It is a happy number.

It is a super-2 number, since 2×401788034562 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58545 + ... + 289456.

It is an arithmetic number, because the mean of its divisors is an integer number (1244803154).

Almost surely, 240178803456 is an apocalyptic number.

It is an amenable number.

40178803456 is an abundant number, since it is smaller than the sum of its proper divisors (49447023632).

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

40178803456 is a wasteful number, since it uses less digits than its factorization.

40178803456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348069 (or 348055 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 40178803456 in words is "forty billion, one hundred seventy-eight million, eight hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 656 704 902 1312 1408 1804 2624 2816 3608 5248 7216 10496 14432 28864 57728 115456 348001 696002 1392004 2784008 3828011 5568016 7656022 11136032 14268041 15312044 22272064 28536082 30624088 44544128 57072164 61248176 89088256 114144328 122496352 156948451 228288656 244992704 313896902 456577312 489985408 627793804 913154624 979970816 1255587608 1826309248 2511175216 3652618496 5022350432 10044700864 20089401728 40178803456