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140006930625 = 345416632
BaseRepresentation
bin1000001001100100010…
…0000011100011000001
3111101101022201222210000
42002121010003203001
54243213233240000
6144152430230213
713054334163132
oct2023104034301
9441338658700
10140006930625
1154416298231
1223174055369
131028314a763
146ac2513c89
153996640000
hex20991038c1

140006930625 has 75 divisors (see below), whose sum is σ = 261506285733. Its totient is φ = 74625462000.

The previous prime is 140006930611. The next prime is 140006930639. The reversal of 140006930625 is 526039600041.

It is a happy number.

The square root of 140006930625 is 374175.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (140006930611) and next prime (140006930639).

It can be written as a sum of positive squares in 2 ways, for example, as 10976543361 + 129030387264 = 104769^2 + 359208^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 140006930625 - 217 = 140006799553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 140006930625.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 84188544 + ... + 84190206.

Almost surely, 2140006930625 is an apocalyptic number.

140006930625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

140006930625 is the 374175-th square number.

140006930625 is the 187088-th centered octagonal number.

It is an amenable number.

140006930625 is a deficient number, since it is larger than the sum of its proper divisors (121499355108).

140006930625 is an frugal number, since it uses more digits than its factorization.

140006930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 140006930625 by its sum of digits (36), we get a square (5040249502500 = 22450502).

The spelling of 140006930625 in words is "one hundred forty billion, six million, nine hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1663 1875 2025 3375 4989 5625 8315 10125 14967 16875 24945 41575 44901 50625 74835 124725 134703 207875 224505 374175 623625 673515 1039375 1122525 1870875 2765569 3118125 3367575 5612625 8296707 9354375 13827845 16837875 24890121 28063125 41483535 69139225 74670363 84189375 124450605 207417675 224011089 345696125 373351815 622253025 1037088375 1120055445 1728480625 1866759075 3111265125 5185441875 5600277225 9333795375 15556325625 28001386125 46668976875 140006930625