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145531660401 = 3226261615749
BaseRepresentation
bin1000011110001001011…
…1001110100001110001
3111220122100111100021100
42013202113032201301
54341022101113101
6150504544315013
713341260463051
oct2074227164161
9456570440240
10145531660401
11567a0912506
1224256312a69
131095390c62a
147088167561
153bbb696e86
hex21e25ce871

145531660401 has 12 divisors (see below), whose sum is σ = 210220744500. Its totient is φ = 97017254880.

The previous prime is 145531660343. The next prime is 145531660409. The reversal of 145531660401 is 104066135541.

145531660401 is a `hidden beast` number, since 1 + 4 + 553 + 1 + 6 + 60 + 40 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66421660176 + 79110000225 = 257724^2 + 281265^2 .

It is not a de Polignac number, because 145531660401 - 217 = 145531529329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145531660409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71526 + ... + 544223.

It is an arithmetic number, because the mean of its divisors is an integer number (17518395375).

Almost surely, 2145531660401 is an apocalyptic number.

It is an amenable number.

145531660401 is a deficient number, since it is larger than the sum of its proper divisors (64689084099).

145531660401 is a wasteful number, since it uses less digits than its factorization.

145531660401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642016 (or 642013 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 145531660401 its reverse (104066135541), we get a palindrome (249597795942).

The spelling of 145531660401 in words is "one hundred forty-five billion, five hundred thirty-one million, six hundred sixty thousand, four hundred one".

Divisors: 1 3 9 26261 78783 236349 615749 1847247 5541741 16170184489 48510553467 145531660401