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4134450520100 = 2252113721950683
BaseRepresentation
bin111100001010100000011…
…101000110000000100100
3112122020201222001210101202
4330022200131012000210
51020214323313120400
612443201303142032
7604463352400535
oct74124035060044
915566658053352
104134450520100
11135445759638a
1256934b144918
1323cb52a412c4
1410417391468c
157282e8d64d5
hex3c2a0746024

4134450520100 has 72 divisors (see below), whose sum is σ = 9052586118240. Its totient is φ = 1638885588480.

The previous prime is 4134450520097. The next prime is 4134450520147. The reversal of 4134450520100 is 10250544314.

It is a super-2 number, since 2×41344505201002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81549359 + ... + 81600041.

Almost surely, 24134450520100 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 4134450520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526293059120).

4134450520100 is an abundant number, since it is smaller than the sum of its proper divisors (4918135598140).

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

4134450520100 is a wasteful number, since it uses less digits than its factorization.

4134450520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58029 (or 58022 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 4134450520100 in words is "four trillion, one hundred thirty-four billion, four hundred fifty million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 7219 11300 14438 28876 36095 50683 72190 101366 144380 180475 202732 253415 360950 506830 721900 815747 1013660 1267075 1631494 2534150 3262988 4078735 5068300 5727179 8157470 11454358 16314940 20393675 22908716 28635895 40787350 57271790 81574700 114543580 143179475 286358950 365880577 572717900 731761154 1463522308 1829402885 3658805770 7317611540 9147014425 18294028850 36588057700 41344505201 82689010402 165378020804 206722526005 413445052010 826890104020 1033612630025 2067225260050 4134450520100