Search a number
-
+
40423978560 = 2635735317041
BaseRepresentation
bin100101101001011101…
…001111011001000000
310212100012211212202010
4211221131033121000
51130242014303220
630323122052520
72630513101620
oct455135173100
9125305755663
1040423978560
1116164311449
127a01aaa140
133a72b6b154
141d56a14880
1510b8d351e0
hex96974f640

40423978560 has 224 divisors, whose sum is σ = 147105453312. Its totient is φ = 9213050880.

The previous prime is 40423978501. The next prime is 40423978643. The reversal of 40423978560 is 6587932404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 2363640 + ... + 2380680.

Almost surely, 240423978560 is an apocalyptic number.

40423978560 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 40423978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73552726656).

40423978560 is an abundant number, since it is smaller than the sum of its proper divisors (106681474752).

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

40423978560 is a wasteful number, since it uses less digits than its factorization.

40423978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17421 (or 17411 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 40423978560 in words is "forty billion, four hundred twenty-three million, nine hundred seventy-eight thousand, five hundred sixty".