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145451313440 = 255909070709
BaseRepresentation
bin1000011101110110010…
…0101110100100100000
3111220102202022021221222
42013131210232210200
54340341014012230
6150452554234212
713336263523256
oct2073544564440
9456382267858
10145451313440
115675a524664
1224233425968
131094008a354
14707b6105d6
153bb45c56e5
hex21dd92e920

145451313440 has 24 divisors (see below), whose sum is σ = 343628728380. Its totient is φ = 58180525312.

The previous prime is 145451313407. The next prime is 145451313463. The reversal of 145451313440 is 44313154541.

It can be written as a sum of positive squares in 2 ways, for example, as 144245001616 + 1206311824 = 379796^2 + 34732^2 .

It is a super-2 number, since 2×1454513134402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145451313440.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 454535195 + ... + 454535514.

Almost surely, 2145451313440 is an apocalyptic number.

145451313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145451313440 is an abundant number, since it is smaller than the sum of its proper divisors (198177414940).

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

145451313440 is an equidigital number, since it uses as much as digits as its factorization.

145451313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909070724 (or 909070716 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 145451313440 its reverse (44313154541), we get a palindrome (189764467981).

The spelling of 145451313440 in words is "one hundred forty-five billion, four hundred fifty-one million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 909070709 1818141418 3636282836 4545353545 7272565672 9090707090 14545131344 18181414180 29090262688 36362828360 72725656720 145451313440