Search a number
-
+
144137127352116 = 22328725141815093
BaseRepresentation
bin100000110001011110001010…
…010001100101011100110100
3200220100101010020020111012110
4200301132022101211130310
5122343020314100231431
61230315403204051020
742234364245410613
oct4061361221453464
9626311106214173
10144137127352116
1141a2123781a098
12141ba8a8393a70
1362570c3bb6072
1427843ba52387a
15119e50ddcd346
hex83178a465734

144137127352116 has 24 divisors (see below), whose sum is σ = 336321142687264. Its totient is φ = 48045540708000.

The previous prime is 144137127352061. The next prime is 144137127352117. The reversal of 144137127352116 is 611253721731441.

It is a super-2 number, since 2×1441371273521162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144137127352117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17460535 + ... + 24354558.

Almost surely, 2144137127352116 is an apocalyptic number.

It is an amenable number.

144137127352116 is an abundant number, since it is smaller than the sum of its proper divisors (192184015335148).

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

144137127352116 is a wasteful number, since it uses less digits than its factorization.

144137127352116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42102351 (or 42102349 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The spelling of 144137127352116 in words is "one hundred forty-four trillion, one hundred thirty-seven billion, one hundred twenty-seven million, three hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 287251 574502 861753 1149004 1723506 3447012 41815093 83630186 125445279 167260372 250890558 501781116 12011427279343 24022854558686 36034281838029 48045709117372 72068563676058 144137127352116