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145624202426541 = 32231181951119379
BaseRepresentation
bin100001000111000111000110…
…110110110011100010101101
3201002121112112001100101012210
4201013013012312303202231
5123041401331310122131
61233414500211521033
742450000330111456
oct4107070666634255
9632545461311183
10145624202426541
1142444971944603
12143bab428b9179
1363343c36550c7
1427d636b3a812d
1511c8046705146
hex8471c6db38ad

145624202426541 has 32 divisors (see below), whose sum is σ = 195232043704320. Its totient is φ = 96550481937600.

The previous prime is 145624202426533. The next prime is 145624202426557.

145624202426541 is nontrivially palindromic in base 10.

145624202426541 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145624202426541 - 23 = 145624202426533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145624202426441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7514526790 + ... + 7514546168.

It is an arithmetic number, because the mean of its divisors is an integer number (6101001365760).

Almost surely, 2145624202426541 is an apocalyptic number.

It is an amenable number.

145624202426541 is a deficient number, since it is larger than the sum of its proper divisors (49607841277779).

145624202426541 is a wasteful number, since it uses less digits than its factorization.

145624202426541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30297.

The product of its (nonzero) digits is 3686400, while the sum is 48.

It can be divided in two parts, 14562420 and 2426541, that added together give a palindrome (16988961).

The spelling of 145624202426541 in words is "one hundred forty-five trillion, six hundred twenty-four billion, two hundred two million, four hundred twenty-six thousand, five hundred forty-one".

Divisors: 1 3 223 669 1181 3543 9511 19379 28533 58137 263363 790089 2120953 4321517 6362859 11232491 12964551 22886599 33697473 68659797 184313669 552941007 2504845493 5103711577 7514536479 15311134731 41101948187 123305844561 217674443089 653023329267 48541400808847 145624202426541