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144102134032129 = 71317367725332991
BaseRepresentation
bin100000110000111101100100…
…100000101010011100000001
3200220020000210111010122112001
4200300331210200222130001
5122341432132303012004
61230251334555504001
742232015134165550
oct4060754440523401
9626200714118461
10144102134032129
1141a0840aa20929
12141b3b61158001
136253a08190a70
14278281ac75d97
15119d661c1c1a4
hex830f6482a701

144102134032129 has 32 divisors (see below), whose sum is σ = 187840285065216. Its totient is φ = 107278930068480.

The previous prime is 144102134032121. The next prime is 144102134032147. The reversal of 144102134032129 is 921230431201441.

It is a cyclic number.

It is not a de Polignac number, because 144102134032129 - 23 = 144102134032121 is a prime.

It is a super-2 number, since 2×1441021340321292 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144102134032121) 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, 6978177 + ... + 18354814.

It is an arithmetic number, because the mean of its divisors is an integer number (5870008908288).

Almost surely, 2144102134032129 is an apocalyptic number.

It is an amenable number.

144102134032129 is a deficient number, since it is larger than the sum of its proper divisors (43738151033087).

144102134032129 is a wasteful number, since it uses less digits than its factorization.

144102134032129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25336705.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 144102134032129 in words is "one hundred forty-four trillion, one hundred two billion, one hundred thirty-four million, thirty-two thousand, one hundred twenty-nine".

Divisors: 1 7 13 17 91 119 221 1547 3677 25739 47801 62509 334607 437563 812617 5688319 25332991 177330937 329328883 430660847 2305302181 3014625929 5598591011 39190137077 93149407907 652045855349 1210942302791 1583539934419 8476596119537 11084779540933 20586019147447 144102134032129