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444434025040 = 24523241540231
BaseRepresentation
bin1100111011110100101…
…01010000101001010000
31120111011101000201100221
412131322111100221100
524240200102300130
6540100431322424
744052326611345
oct6357225205120
91514141021327
10444434025040
1116153546a045
1272174080414
1332baa207955
14177215c47cc
15b8627da87a
hex677a550a50

444434025040 has 40 divisors (see below), whose sum is σ = 1078235595648. Its totient is φ = 170044321920.

The previous prime is 444434025037. The next prime is 444434025047. The reversal of 444434025040 is 40520434444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4444340250402 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 444434024987 and 444434025005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444434025047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120768276 + ... + 120771955.

Almost surely, 2444434025040 is an apocalyptic number.

444434025040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444434025040 is an abundant number, since it is smaller than the sum of its proper divisors (633801570608).

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

444434025040 is a wasteful number, since it uses less digits than its factorization.

444434025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241540267 (or 241540261 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 444434025040 its reverse (40520434444), we get a palindrome (484954459484).

The spelling of 444434025040 in words is "four hundred forty-four billion, four hundred thirty-four million, twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 241540231 483080462 966160924 1207701155 1932321848 2415402310 3864643696 4830804620 5555425313 9661609240 11110850626 19323218480 22221701252 27777126565 44443402504 55554253130 88886805008 111108506260 222217012520 444434025040