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3430525133500 = 2253371131641007
BaseRepresentation
bin110001111010111011001…
…110110110001010111100
3110010221210012021002112221
4301322323032312022330
5422201203413233000
611143543403135124
7502563416340313
oct61727316661274
913127705232487
103430525133500
111102972005733
12474a37b144a4
131bb6602782ca
14bc07715d27a
155e380de661a
hex31ebb3b62bc

3430525133500 has 96 divisors (see below), whose sum is σ = 7762860548352. Its totient is φ = 1323307238400.

The previous prime is 3430525133447. The next prime is 3430525133531. The reversal of 3430525133500 is 53315250343.

It is a super-3 number, since 3×34305251335003 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269997 + ... + 2911003.

It is an arithmetic number, because the mean of its divisors is an integer number (80863130712).

Almost surely, 23430525133500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430525133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881430274176).

3430525133500 is an abundant number, since it is smaller than the sum of its proper divisors (4332335414852).

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

3430525133500 is a wasteful number, since it uses less digits than its factorization.

3430525133500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641176 (or 1641164 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 34.

The spelling of 3430525133500 in words is "three trillion, four hundred thirty billion, five hundred twenty-five million, one hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 113 125 148 185 226 250 370 452 500 565 740 925 1130 1850 2260 2825 3700 4181 4625 5650 8362 9250 11300 14125 16724 18500 20905 28250 41810 56500 83620 104525 209050 418100 522625 1045250 1641007 2090500 3282014 6564028 8205035 16410070 32820140 41025175 60717259 82050350 121434518 164100700 185433791 205125875 242869036 303586295 370867582 410251750 607172590 741735164 820503500 927168955 1214345180 1517931475 1854337910 3035862950 3708675820 4635844775 6071725900 6861050267 7589657375 9271689550 13722100534 15179314750 18543379100 23179223875 27444201068 30358629500 34305251335 46358447750 68610502670 92716895500 137221005340 171526256675 343052513350 686105026700 857631283375 1715262566750 3430525133500