Search a number
-
+
34535401425 = 3252747466537
BaseRepresentation
bin100000001010011110…
…000110011111010001
310022010211110011111200
4200022132012133101
51031212030321200
623510525301413
72331551032350
oct401236063721
9108124404450
1034535401425
1113712374278
126839a04869
133344bb5295
14195892b997
15d71dab800
hex80a7867d1

34535401425 has 72 divisors (see below), whose sum is σ = 72197688576. Its totient is φ = 15451672320.

The previous prime is 34535401421. The next prime is 34535401429. The reversal of 34535401425 is 52410453543.

34535401425 is a `hidden beast` number, since 34 + 53 + 540 + 14 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (34535401421) and next prime (34535401429).

It is not a de Polignac number, because 34535401425 - 22 = 34535401421 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34535401425.

It is not an unprimeable number, because it can be changed into a prime (34535401421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159244 + ... + 307293.

Almost surely, 234535401425 is an apocalyptic number.

34535401425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34535401425 is an abundant number, since it is smaller than the sum of its proper divisors (37662287151).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34535401425 is a wasteful number, since it uses less digits than its factorization.

34535401425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466607 (or 466599 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 34535401425 its reverse (52410453543), we get a palindrome (86945854968).

The spelling of 34535401425 in words is "thirty-four billion, five hundred thirty-five million, four hundred one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 47 63 75 105 141 175 225 235 315 329 423 525 705 987 1175 1575 1645 2115 2961 3525 4935 8225 10575 14805 24675 74025 466537 1399611 2332685 3265759 4198833 6998055 9797277 11663425 16328795 20994165 21927239 29391831 34990275 48986385 65781717 81643975 104970825 109636195 146959155 153490673 197345151 244931925 328908585 460472019 548180975 734795775 767453365 986725755 1381416057 1644542925 2302360095 3837266825 4933628775 6907080285 11511800475 34535401425