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4142643700 = 2252135954011
BaseRepresentation
bin1111011011101011…
…1011100111110100
3101200201010002211011
43312322323213310
531441004044300
61523023122004
7204441614266
oct36672734764
911621102734
104142643700
111836461588
12977443304
13510346180
142b4285b36
15193a4eeba
hexf6ebb9f4

4142643700 has 72 divisors (see below), whose sum is σ = 9845307360. Its totient is φ = 1503638400.

The previous prime is 4142643697. The next prime is 4142643721. The reversal of 4142643700 is 73462414.

It is a super-2 number, since 2×41426437002 = 34322993650299380000, which contains 22 as substring.

It is a congruent number.

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, 49695 + ... + 103705.

It is an arithmetic number, because the mean of its divisors is an integer number (136740380).

Almost surely, 24142643700 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 4142643700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922653680).

4142643700 is an abundant number, since it is smaller than the sum of its proper divisors (5702663660).

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

4142643700 is a wasteful number, since it uses less digits than its factorization.

4142643700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54097 (or 54090 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 4142643700 is about 64363.3723479434. The cubic root of 4142643700 is about 1606.0504893333.

The spelling of 4142643700 in words is "four billion, one hundred forty-two million, six hundred forty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 236 260 295 325 590 650 767 1180 1300 1475 1534 2950 3068 3835 5900 7670 15340 19175 38350 54011 76700 108022 216044 270055 540110 702143 1080220 1350275 1404286 2700550 2808572 3186649 3510715 5401100 6373298 7021430 12746596 14042860 15933245 17553575 31866490 35107150 41426437 63732980 70214300 79666225 82852874 159332450 165705748 207132185 318664900 414264370 828528740 1035660925 2071321850 4142643700