Search a number
-
+
40190955654144 = 2103232294324793
BaseRepresentation
bin10010010001101101011111…
…01000101000110000000000
312021022012212210200022201110
421020312233220220300000
520231442034121413034
6221251245314403320
711315462230241331
oct1110665750506000
9167265783608643
1040190955654144
1111895985766379
124611339890540
131956cb5baa9a9
149cd377320288
1549a6d4154de9
hex248dafa28c00

40190955654144 has 176 divisors, whose sum is σ = 111790476306432. Its totient is φ = 12813432225792.

The previous prime is 40190955654013. The next prime is 40190955654169. The reversal of 40190955654144 is 44145655909104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621048212 + ... + 1621073004.

It is an arithmetic number, because the mean of its divisors is an integer number (635173160832).

Almost surely, 240190955654144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40190955654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55895238153216).

40190955654144 is an abundant number, since it is smaller than the sum of its proper divisors (71599520652288).

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

40190955654144 is a wasteful number, since it uses less digits than its factorization.

40190955654144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47782 (or 47764 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 40190955654144 in words is "forty trillion, one hundred ninety billion, nine hundred fifty-five million, six hundred fifty-four thousand, one hundred forty-four".