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145761991431 = 3722703136683
BaseRepresentation
bin1000011111000000010…
…1110111101100000111
3111221020101220101001020
42013300011313230013
54342010032211211
6150543453202223
713350055325100
oct2076005675407
9457211811036
10145761991431
11568a9931631
12242bb490373
131098c556494
1470aa9a33a7
153bd19e3306
hex21f0177b07

145761991431 has 24 divisors (see below), whose sum is σ = 226094350464. Its totient is φ = 83287214640.

The previous prime is 145761991399. The next prime is 145761991433. The reversal of 145761991431 is 134199167541.

145761991431 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 145761991431 - 25 = 145761991399 is a prime.

It is a super-2 number, since 2×1457619914312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145761991433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3955216 + ... + 3991898.

It is an arithmetic number, because the mean of its divisors is an integer number (9420597936).

Almost surely, 2145761991431 is an apocalyptic number.

145761991431 is a deficient number, since it is larger than the sum of its proper divisors (80332359033).

145761991431 is a wasteful number, since it uses less digits than its factorization.

145761991431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63731 (or 63724 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The spelling of 145761991431 in words is "one hundred forty-five billion, seven hundred sixty-one million, nine hundred ninety-one thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 27031 36683 81093 110049 189217 256781 567651 770343 1324519 1797467 3973557 5392401 991578173 2974734519 6941047211 20823141633 48587330477 145761991431