Search a number
-
+
42004553955 = 357213172937241
BaseRepresentation
bin100111000111101010…
…101010000011100011
311000102100222102120120
4213013222222003203
51142011131211310
631144023211323
73014624550300
oct470752520343
9130370872516
1042004553955
11168a5526101
1281832a6b43
133c65462670
1420668d00a7
15115c998b70
hex9c7aaa0e3

42004553955 has 384 divisors, whose sum is σ = 95105767680. Its totient is φ = 15606743040.

The previous prime is 42004553951. The next prime is 42004553963. The reversal of 42004553955 is 55935540024.

It is a happy number.

42004553955 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42004553955 - 22 = 42004553951 is a prime.

It is a super-2 number, since 2×420045539552 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42004553951) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 174292635 + ... + 174292875.

It is an arithmetic number, because the mean of its divisors is an integer number (247671270).

Almost surely, 242004553955 is an apocalyptic number.

42004553955 is an abundant number, since it is smaller than the sum of its proper divisors (53101213725).

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

42004553955 is a wasteful number, since it uses less digits than its factorization.

42004553955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 42004553955 in words is "forty-two billion, four million, five hundred fifty-three thousand, nine hundred fifty-five".