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145252300414031 = 1918179866310733
BaseRepresentation
bin100001000001101100101111…
…110001001101110001001111
3201001021222120120002122221022
4201001230233301031301033
5123014303202401222111
61232531552521024355
742411063261135356
oct4101545761156117
9631258516078838
10145252300414031
1142311177956078
121435aa516250bb
136308305322285
1427c236abc099d
1511bd52b97b2db
hex841b2fc4dc4f

145252300414031 has 16 divisors (see below), whose sum is σ = 146061099970560. Its totient is φ = 144444014630880.

The previous prime is 145252300414019. The next prime is 145252300414069. The reversal of 145252300414031 is 130414003252541.

145252300414031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 145252300414031 - 214 = 145252300397647 is a prime.

It is a super-2 number, since 2×1452523004140312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145252300413982 and 145252300414000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145252300474031) 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, 13533237941 + ... + 13533248673.

It is an arithmetic number, because the mean of its divisors is an integer number (9128818748160).

Almost surely, 2145252300414031 is an apocalyptic number.

145252300414031 is a deficient number, since it is larger than the sum of its proper divisors (808799556529).

145252300414031 is a wasteful number, since it uses less digits than its factorization.

145252300414031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27766.

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

Adding to 145252300414031 its reverse (130414003252541), we get a palindrome (275666303666572).

The spelling of 145252300414031 in words is "one hundred forty-five trillion, two hundred fifty-two billion, three hundred million, four hundred fourteen thousand, thirty-one".

Divisors: 1 191 8179 8663 10733 1562189 1654633 2050003 70854677 87785207 92979979 13533243307 16766974537 17759175989 760483248241 145252300414031