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153442323244351 = 31791459160726723
BaseRepresentation
bin100010111000111000010011…
…001010111010010100111111
3202010021221110022222000111001
4202320320103022322110333
5130102444334222304401
61302202232525511131
744214561545434441
oct4270702312722477
9663257408860431
10153442323244351
1144989584269229
12152621977124a7
13678071a1ac8ab
1429c6910442491
1512b15c0eb7601
hex8b8e132ba53f

153442323244351 has 32 divisors (see below), whose sum is σ = 160612864819200. Its totient is φ = 146415778835040.

The previous prime is 153442323244337. The next prime is 153442323244369.

153442323244351 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 153442323244351 - 225 = 153442289689919 is a prime.

It is a super-2 number, since 2×1534423232443512 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153442323244391) 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, 5741943876 + ... + 5741970598.

It is an arithmetic number, because the mean of its divisors is an integer number (5019152025600).

Almost surely, 2153442323244351 is an apocalyptic number.

153442323244351 is a deficient number, since it is larger than the sum of its proper divisors (7170541574849).

153442323244351 is a wasteful number, since it uses less digits than its factorization.

153442323244351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29899.

The product of its digits is 4147200, while the sum is 46.

The spelling of 153442323244351 in words is "one hundred fifty-three trillion, four hundred forty-two billion, three hundred twenty-three million, two hundred forty-four thousand, three hundred fifty-one".

Divisors: 1 31 79 1459 1607 2449 26723 45229 49817 115261 126953 828413 2111117 2344613 3573091 3935543 38988857 42943861 65444627 72683003 185224427 1208654567 1331259691 3080119703 3392565019 5741957237 62655093199 95483710793 105169515589 1942307889169 4949752362721 153442323244351