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34412431230023 = 71183131332912347
BaseRepresentation
bin1111101001100010001001…
…01111010100010001000111
311111211210111111111202010212
413310301010233110101013
514002303124343330043
6201104504101510035
710151134061122430
oct764610457242107
9144753444452125
1034412431230023
11aa68259332140
123a3943971231b
131628103164c12
1486d7db880487
153ea22dbd0018
hex1f4c44bd4447

34412431230023 has 64 divisors (see below), whose sum is σ = 43768867000320. Its totient is φ = 26279557324800.

The previous prime is 34412431229977. The next prime is 34412431230041. The reversal of 34412431230023 is 32003213421443.

It is a cyclic number.

It is not a de Polignac number, because 34412431230023 - 218 = 34412430967879 is a prime.

It is a super-2 number, since 2×344124312300232 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412431230823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2787102536 + ... + 2787114882.

It is an arithmetic number, because the mean of its divisors is an integer number (683888546880).

Almost surely, 234412431230023 is an apocalyptic number.

34412431230023 is a deficient number, since it is larger than the sum of its proper divisors (9356435770297).

34412431230023 is a wasteful number, since it uses less digits than its factorization.

34412431230023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15908.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34412431230023 its reverse (32003213421443), we get a palindrome (66415644651466).

The spelling of 34412431230023 in words is "thirty-four trillion, four hundred twelve billion, four hundred thirty-one million, two hundred thirty thousand, twenty-three".

Divisors: 1 7 11 77 83 131 581 913 917 1441 3329 6391 10087 10873 12347 23303 36619 76111 86429 119603 135817 256333 276307 436099 837221 950719 1024801 1617457 1934149 3039377 3052693 4797089 7173607 11272811 11322199 17792027 21275639 33579623 36196217 41103163 78909677 124544189 134248931 253373519 287722141 398158387 452134793 939742517 1476738241 2787108709 3164943551 3411562529 5384514353 10337167687 23880937703 37527187819 37691600471 59229657883 262690314733 414607605181 446914691299 3128402839093 4916061604289 34412431230023