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34442642025 = 325211234314071
BaseRepresentation
bin100000000100111100…
…010000001001101001
310021220100220111112100
4200010330100021221
51031014304021100
623453413204013
72326343424651
oct400474201151
9107810814470
1034442642025
1113674a78810
126812930609
13332b90836c
14194a4a3361
15d68b87400
hex804f10269

34442642025 has 144 divisors (see below), whose sum is σ = 71863114752. Its totient is φ = 15600816000.

The previous prime is 34442642023. The next prime is 34442642041. The reversal of 34442642025 is 52024624443.

34442642025 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 2 + 642 + 0 + 2 + 5 = 666.

It is not a de Polignac number, because 34442642025 - 21 = 34442642023 is a prime.

It is a super-2 number, since 2×344426420252 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34442642021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2440740 + ... + 2454810.

It is an arithmetic number, because the mean of its divisors is an integer number (499049408).

Almost surely, 234442642025 is an apocalyptic number.

It is an amenable number.

34442642025 is an abundant number, since it is smaller than the sum of its proper divisors (37420472727).

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

34442642025 is a wasteful number, since it uses less digits than its factorization.

34442642025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14164 (or 14156 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 34442642025 in words is "thirty-four billion, four hundred forty-two million, six hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 23 25 33 43 45 55 69 75 99 115 129 165 207 215 225 253 275 345 387 473 495 575 645 759 825 989 1035 1075 1265 1419 1725 1935 2277 2365 2475 2967 3225 3795 4257 4945 5175 6325 7095 8901 9675 10879 11385 11825 14071 14835 18975 21285 24725 32637 35475 42213 44505 54395 56925 70355 74175 97911 106425 126639 154781 163185 211065 222525 271975 323633 351775 464343 489555 605053 633195 773905 815925 970899 1055325 1393029 1618165 1815159 2321715 2447775 2912697 3025265 3165975 3559963 3869525 4854495 5445477 6655583 6965145 8090825 9075795 10679889 11608575 13916219 14563485 15126325 17799815 19966749 24272475 27227385 32039667 33277915 34825725 41748657 45378975 53399445 59900247 69581095 72817425 88999075 99833745 125245971 136136925 153078409 160198335 166389575 208743285 266997225 299501235 347905475 459235227 499168725 626229855 765392045 800991675 1043716425 1377705681 1497506175 2296176135 3131149275 3826960225 6888528405 11480880675 34442642025