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144125371938808 = 231317155352491227
BaseRepresentation
bin100000110001010011001101…
…100110001111011111111000
3200220022020202222100121201101
4200301103031212033133320
5122342322230204020213
61230310140512501144
742233500034141611
oct4061231546173770
9626266688317641
10144125371938808
1141a17255134087
12141b856754a7b4
136255c6c619cc0
1427839c31b2c08
15119e071d72bdd
hex8314cd98f7f8

144125371938808 has 64 divisors (see below), whose sum is σ = 308339772219360. Its totient is φ = 62566181953536.

The previous prime is 144125371938767. The next prime is 144125371938869. The reversal of 144125371938808 is 808839173521441.

It is a happy number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 144125371938808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23499910 + ... + 28991317.

Almost surely, 2144125371938808 is an apocalyptic number.

It is an amenable number.

144125371938808 is an abundant number, since it is smaller than the sum of its proper divisors (164214400280552).

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

144125371938808 is a wasteful number, since it uses less digits than its factorization.

144125371938808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52492816 (or 52492812 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 64.

The spelling of 144125371938808 in words is "one hundred forty-four trillion, one hundred twenty-five billion, three hundred seventy-one million, nine hundred thirty-eight thousand, eight hundred eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1553 1768 3106 6212 12424 20189 26401 40378 52802 80756 105604 161512 211208 343213 686426 1372852 2745704 52491227 104982454 209964908 419929816 682385951 892350859 1364771902 1784701718 2729543804 3569403436 5459087608 7138806872 11600561167 23201122334 46402244668 81518875531 92804489336 163037751062 326075502124 652151004248 1059745381903 1385820884027 2119490763806 2771641768054 4238981527612 5543283536108 8477963055224 11086567072216 18015671492351 36031342984702 72062685969404 144125371938808