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41426634400 = 255251783293
BaseRepresentation
bin100110100101001110…
…000100011010100000
310221221002112001222121
4212211032010122200
51134320204300100
631010420314024
72664406403524
oct464516043240
9127832461877
1041426634400
1116629289638
128041842914
133ba27c8128
14200dc53d84
151126d8d51a
hex9a53846a0

41426634400 has 36 divisors (see below), whose sum is σ = 101132773182. Its totient is φ = 16570653440.

The previous prime is 41426634377. The next prime is 41426634407. The reversal of 41426634400 is 443662414.

It can be written as a sum of positive squares in 3 ways, for example, as 22137868944 + 19288765456 = 148788^2 + 138884^2 .

It is a super-2 number, since 2×414266344002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41426634407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25890847 + ... + 25892446.

Almost surely, 241426634400 is an apocalyptic number.

41426634400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41426634400 is an abundant number, since it is smaller than the sum of its proper divisors (59706138782).

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

41426634400 is a wasteful number, since it uses less digits than its factorization.

41426634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51783313 (or 51783300 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 41426634400 in words is "forty-one billion, four hundred twenty-six million, six hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 51783293 103566586 207133172 258916465 414266344 517832930 828532688 1035665860 1294582325 1657065376 2071331720 2589164650 4142663440 5178329300 8285326880 10356658600 20713317200 41426634400