Search a number
-
+
40778250524928 = 283273181561721
BaseRepresentation
bin10010100010110011011010…
…01000110001100100000000
312100101100210101120221102100
421101121231020301210000
520321102324113244203
6222421134125550400
711406063030256320
oct1121315510614400
9170340711527370
1040778250524928
1111aa1a60375284
1246a7121715400
13199a4ac589757
14a0d96c075280
154aab088b9ea3
hex25166d231900

40778250524928 has 216 divisors, whose sum is σ = 138704516926976. Its totient is φ = 11275092172800.

The previous prime is 40778250524927. The next prime is 40778250524969. The reversal of 40778250524928 is 82942505287704.

40778250524928 is a `hidden beast` number, since 4 + 0 + 7 + 7 + 82 + 5 + 0 + 524 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40778250524927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40280893 + ... + 41280828.

Almost surely, 240778250524928 is an apocalyptic number.

40778250524928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40778250524928 is an abundant number, since it is smaller than the sum of its proper divisors (97926266402048).

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

40778250524928 is a wasteful number, since it uses less digits than its factorization.

40778250524928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81561781 (or 81561764 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 40778250524928 in words is "forty trillion, seven hundred seventy-eight billion, two hundred fifty million, five hundred twenty-four thousand, nine hundred twenty-eight".