Search a number
-
+
133023001021440 = 2103524135935069
BaseRepresentation
bin11110001111101111010100…
…101110010000110000000000
3122102222212121122202111221220
4132033233110232100300000
5114413422101230141230
61150525531213115040
740006410654341235
oct3617572456206000
9572885548674856
10133023001021440
11394268131a0832
1212b048b9a88a80
13592c02744113a
1424bc4c1b6b78c
15105a37824ed10
hex78fbd4b90c00

133023001021440 has 176 divisors, whose sum is σ = 427231184788320. Its totient is φ = 35325609246720.

The previous prime is 133023001021433. The next prime is 133023001021441. The reversal of 133023001021440 is 44120100320331.

It is a happy number.

It is a super-4 number, since 4×1330230010214404 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133023001021440.

It is not an unprimeable number, because it can be changed into a prime (133023001021441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14265775 + ... + 21669294.

It is an arithmetic number, because the mean of its divisors is an integer number (2427449913570).

Almost surely, 2133023001021440 is an apocalyptic number.

133023001021440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133023001021440 is an abundant number, since it is smaller than the sum of its proper divisors (294208183766880).

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

133023001021440 is a wasteful number, since it uses less digits than its factorization.

133023001021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35935338 (or 35935320 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133023001021440 its reverse (44120100320331), we get a palindrome (177143101341771).

The spelling of 133023001021440 in words is "one hundred thirty-three trillion, twenty-three billion, one million, twenty-one thousand, four hundred forty".