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34430665425 = 35213293732911
BaseRepresentation
bin100000000100001110…
…100100001011010001
310021212112101000201120
4200010032210023101
51031003222243200
623452304352453
72326136553522
oct400416441321
9107775330646
1034430665425
11136692385a2
12680a915729
1333292a3c10
141948a66849
15d67abd9a0
hex8043a42d1

34430665425 has 96 divisors (see below), whose sum is σ = 65134164480. Its totient is φ = 15923174400.

The previous prime is 34430665421. The next prime is 34430665447. The reversal of 34430665425 is 52456603443.

It is a happy number.

It is not a de Polignac number, because 34430665425 - 22 = 34430665421 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34430665421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029720 + ... + 1062630.

It is an arithmetic number, because the mean of its divisors is an integer number (678480880).

Almost surely, 234430665425 is an apocalyptic number.

It is an amenable number.

34430665425 is a deficient number, since it is larger than the sum of its proper divisors (30703499055).

34430665425 is a wasteful number, since it uses less digits than its factorization.

34430665425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33003 (or 32998 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 34430665425 in words is "thirty-four billion, four hundred thirty million, six hundred sixty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 13 15 25 29 37 39 65 75 87 111 145 185 195 325 377 435 481 555 725 925 975 1073 1131 1443 1885 2175 2405 2775 3219 5365 5655 7215 9425 12025 13949 16095 26825 28275 32911 36075 41847 69745 80475 98733 164555 209235 348725 427843 493665 822775 954419 1046175 1217707 1283529 2139215 2468325 2863257 3653121 4772095 6088535 6417645 10696075 12407447 14316285 15830191 18265605 23860475 30442675 32088225 35313503 37222341 47490573 62037235 71581425 79150955 91328025 105940509 176567515 186111705 237452865 310186175 395754775 459075539 529702545 882837575 930558525 1187264325 1377226617 2295377695 2648512725 6886133085 11476888475 34430665425