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34253044035243 = 31123712932169359
BaseRepresentation
bin1111100100111001010001…
…00001011010111010101011
311111021120002112101022212120
413302130220201122322223
513442200213233111433
6200503344201042323
710133462235250365
oct762345041327253
9144246075338776
1034253044035243
11aa066a8423680
123a125771863a3
131616081b58547
14865bdb4c7d35
153e6000e3e7b3
hex1f272885aeab

34253044035243 has 64 divisors (see below), whose sum is σ = 52901006376960. Its totient is φ = 19510338108800.

The previous prime is 34253044035241. The next prime is 34253044035269.

34253044035243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34253044035243 - 21 = 34253044035241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34253044035195 and 34253044035204.

It is not an unprimeable number, because it can be changed into a prime (34253044035241) 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, 14704798 + ... + 16874156.

It is an arithmetic number, because the mean of its divisors is an integer number (826578224640).

Almost surely, 234253044035243 is an apocalyptic number.

34253044035243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34253044035243 is a deficient number, since it is larger than the sum of its proper divisors (18647962341717).

34253044035243 is a wasteful number, since it uses less digits than its factorization.

34253044035243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169760.

The product of its (nonzero) digits is 2073600, while the sum is 42.

The spelling of 34253044035243 in words is "thirty-four trillion, two hundred fifty-three billion, forty-four million, thirty-five thousand, two hundred forty-three".

Divisors: 1 3 11 23 33 69 71 213 253 293 759 781 879 1633 2343 3223 4899 6739 9669 17963 20217 20803 53889 62409 74129 222387 228833 478469 686499 1435407 2169359 5263159 6508077 15789477 23862949 49895257 71588847 149685771 154024489 462073467 548847827 635622187 1646543481 1694269379 1906866561 3542563247 5082808137 6991844057 10627689741 14619310301 20975532171 38968195717 43857930903 45129175277 116904587151 135387525831 160812413311 482437239933 496420928047 1037971031371 1489262784141 3113913094113 11417681345081 34253044035243