Search a number
-
+
144128365956519 = 3754412071760887
BaseRepresentation
bin100000110001010110000000…
…000011100000110110100111
3200220022112111122010110220020
4200301112000003200312213
5122342344343141102034
61230311353545010223
742233634160650330
oct4061260003406647
9626275448113806
10144128365956519
1141a1855118898a
12141b9062183973
1362563289b8609
142783bc8a9d287
15119e199b34249
hex8315800e0da7

144128365956519 has 32 divisors (see below), whose sum is σ = 219678752388096. Its totient is φ = 82338602465280.

The previous prime is 144128365956493. The next prime is 144128365956529. The reversal of 144128365956519 is 915659563821441.

It is not a de Polignac number, because 144128365956519 - 212 = 144128365952423 is a prime.

It is a super-2 number, since 2×1441283659565192 (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 (144128365956529) 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, 2367114694 + ... + 2367175580.

It is an arithmetic number, because the mean of its divisors is an integer number (6864961012128).

Almost surely, 2144128365956519 is an apocalyptic number.

144128365956519 is a deficient number, since it is larger than the sum of its proper divisors (75550386431577).

144128365956519 is a wasteful number, since it uses less digits than its factorization.

144128365956519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87055.

The product of its digits is 279936000, while the sum is 69.

The spelling of 144128365956519 in words is "one hundred forty-four trillion, one hundred twenty-eight billion, three hundred sixty-five million, nine hundred fifty-six thousand, five hundred nineteen".

Divisors: 1 3 7 21 5441 16323 20717 38087 60887 62151 114261 145019 182661 426209 435057 1278627 112721197 331286167 338163591 789048379 993858501 1261395979 2319003169 2367145137 3784187937 6957009507 8829771853 26489315559 6863255521739 20589766565217 48042788652173 144128365956519