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4342025505100 = 2252411439735949
BaseRepresentation
bin111111001011110100111…
…000110100100101001100
3120101002112020000120211011
4333023310320310211030
51032114432012130400
613122410551335004
7625462303556113
oct77136470644514
916332466016734
104342025505100
111424496223968
125a161b681464
132565b351400a
14110225a66c7a
1577e2cda08ba
hex3f2f4e3494c

4342025505100 has 72 divisors (see below), whose sum is σ = 9658725552000. Its totient is φ = 1693269158400.

The previous prime is 4342025505091. The next prime is 4342025505107. The reversal of 4342025505100 is 15055202434.

It is not an unprimeable number, because it can be changed into a prime (4342025505107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5531926 + ... + 6267874.

It is an arithmetic number, because the mean of its divisors is an integer number (134148966000).

Almost surely, 24342025505100 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 4342025505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829362776000).

4342025505100 is an abundant number, since it is smaller than the sum of its proper divisors (5316700046900).

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

4342025505100 is a wasteful number, since it uses less digits than its factorization.

4342025505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737443 (or 737436 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 4342025505100 in words is "four trillion, three hundred forty-two billion, twenty-five million, five hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1439 2050 2878 4100 5756 7195 14390 28780 35975 58999 71950 117998 143900 235996 294995 589990 735949 1179980 1471898 1474975 2943796 2949950 3679745 5899900 7359490 14718980 18398725 30173909 36797450 60347818 73594900 120695636 150869545 301739090 603478180 754347725 1059030611 1508695450 2118061222 3017390900 4236122444 5295153055 10590306110 21180612220 26475765275 43420255051 52951530550 86840510102 105903061100 173681020204 217101275255 434202550510 868405101020 1085506376275 2171012752550 4342025505100