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140233023529 = 2923723492
BaseRepresentation
bin1000001010011010001…
…0100010000000101001
3111101222002011200221021
42002212202202000221
54244144123223104
6144231104212441
713063051014124
oct2024642420051
9441862150837
10140233023529
1154521982175
122321790a121
13102bac3c541
146b045693bb
1539ab400754
hex20a68a2029

140233023529 has 27 divisors (see below), whose sum is σ = 149695684047. Its totient is φ = 131360539968.

The previous prime is 140233023503. The next prime is 140233023533. The reversal of 140233023529 is 925320332041.

The square root of 140233023529 is 374477.

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

It can be written as a sum of positive squares in 13 ways, for example, as 545456025 + 139687567504 = 23355^2 + 373748^2 .

It is not a de Polignac number, because 140233023529 - 215 = 140232990761 is a prime.

It is a super-2 number, since 2×1402330235292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 140233023494 and 140233023503.

It is not an unprimeable number, because it can be changed into a prime (140233023599) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 401813647 + ... + 401813995.

Almost surely, 2140233023529 is an apocalyptic number.

140233023529 is the 374477-th square number.

140233023529 is the 187239-th centered octagonal number.

It is an amenable number.

140233023529 is a deficient number, since it is larger than the sum of its proper divisors (9462660518).

140233023529 is an frugal number, since it uses more digits than its factorization.

140233023529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 140233023529 in words is "one hundred forty billion, two hundred thirty-three million, twenty-three thousand, five hundred twenty-nine".

Divisors: 1 29 37 349 841 1073 1369 10121 12913 31117 39701 121801 293509 374477 477781 1151329 3532229 4506637 10859833 13855649 102434641 130692473 166745569 401813821 3790081717 4835621501 140233023529