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4314135025434 = 23132137191162593
BaseRepresentation
bin111110110001110110011…
…111000101011100011010
3120021102112111011102022210
4332301312133011130122
51031140322031303214
613101515233455550
7623454200445243
oct76616637053432
916242474142283
104314135025434
111413683830773
125981371115b6
13253a8a1c1200
1410cb3b865cca
157734956eb59
hex3ec767c571a

4314135025434 has 96 divisors (see below), whose sum is σ = 9460567010304. Its totient is φ = 1310829711360.

The previous prime is 4314135025429. The next prime is 4314135025451. The reversal of 4314135025434 is 4345205314134.

It is a super-2 number, since 2×43141350254342 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4314135025392 and 4314135025401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26452042 + ... + 26614634.

It is an arithmetic number, because the mean of its divisors is an integer number (98547573024).

Almost surely, 24314135025434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314135025434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730283505152).

4314135025434 is an abundant number, since it is smaller than the sum of its proper divisors (5146431984870).

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

4314135025434 is a wasteful number, since it uses less digits than its factorization.

4314135025434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162952 (or 162939 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 4314135025434 in words is "four trillion, three hundred fourteen billion, one hundred thirty-five million, twenty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 137 169 191 274 338 382 411 507 573 822 1014 1146 1781 2483 3562 4966 5343 7449 10686 14898 23153 26167 32279 46306 52334 64558 69459 78501 96837 138918 157002 162593 193674 325186 340171 487779 680342 975558 1020513 2041026 2113709 4227418 4422223 6341127 8844446 12682254 13266669 22275241 26533338 27478217 31055263 44550482 54956434 62110526 66825723 82434651 93165789 133651446 164869302 186331578 289578133 403718419 579156266 807436838 868734399 1211155257 1737468798 2422310514 3764515729 4254571031 5248339447 7529031458 8509142062 10496678894 11293547187 12763713093 15745018341 22587094374 25527426186 31490036682 55309423403 110618846806 165928270209 331856540418 719022504239 1438045008478 2157067512717 4314135025434