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144034000013001 = 3741283361713591
BaseRepresentation
bin100000101111111110000111…
…011010000000011011001001
3200212222111221002221212012010
4200233332013122000123021
5122334323113000404001
61230200150043210133
742224053535450430
oct4057760732003311
9625874832855163
10144034000013001
114199152705990a
12141a2907216949
13624a46a4c8807
14277d3d5dd0117
15119b9c53498d6
hex82ff876806c9

144034000013001 has 96 divisors (see below), whose sum is σ = 227754239698944. Its totient is φ = 79302490214400.

The previous prime is 144034000012999. The next prime is 144034000013021. The reversal of 144034000013001 is 100310000430441.

It is not a de Polignac number, because 144034000013001 - 21 = 144034000012999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (144034000013021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10597741716 + ... + 10597755306.

It is an arithmetic number, because the mean of its divisors is an integer number (2372439996864).

Almost surely, 2144034000013001 is an apocalyptic number.

It is an amenable number.

144034000013001 is a deficient number, since it is larger than the sum of its proper divisors (83720239685943).

144034000013001 is a wasteful number, since it uses less digits than its factorization.

144034000013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17383 (or 17342 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 144034000013001 its reverse (100310000430441), we get a palindrome (244344000443442).

The spelling of 144034000013001 in words is "one hundred forty-four trillion, thirty-four billion, thirteen thousand, one".

Divisors: 1 3 7 21 41 83 123 249 287 581 861 1681 1743 3403 3617 5043 10209 10851 11767 13591 23821 25319 35301 40773 71463 75957 95137 139523 148297 285411 300211 418569 444891 557231 900633 976661 1038079 1128053 1671693 2101477 2929983 3114237 3384159 3900617 6080177 6304431 7896371 11701851 12308651 18240531 22846471 23689113 36925953 42561239 46250173 49158647 68539413 86160557 127683717 138750519 147475941 159925297 258481671 323751211 344110529 479775891 504654691 971253633 1032331587 1513964073 1896257093 2015504527 3532582837 4080167701 5688771279 6046513581 10597748511 12240503103 13273799651 14108531689 28561173907 39821398953 42325595067 82635685607 85683521721 167286875741 247907056821 501860627223 578449799249 1171008130187 1735349397747 3513024390561 6858761905381 20576285716143 48011333337667 144034000013001