Search a number
-
+
42441232020000 = 2535411177351817
BaseRepresentation
bin10011010011001100111101…
…00011101111001000100000
312120021100020102122212111020
421221212132203233020200
521030324120344120000
6230133122142445440
711640164202612462
oct1151463643571040
9176240212585436
1042441232020000
1112583253042140
12491548a893880
131a8b263845428
14a6a2491a2132
154d8ed933cba0
hex26999e8ef220

42441232020000 has 960 divisors, whose sum is σ = 163011292988544. Its totient is φ = 9550725120000.

The previous prime is 42441232019999. The next prime is 42441232020071. The reversal of 42441232020000 is 2023214424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 819034092 + ... + 819085908.

Almost surely, 242441232020000 is an apocalyptic number.

42441232020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42441232020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81505646494272).

42441232020000 is an abundant number, since it is smaller than the sum of its proper divisors (120570060968544).

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

42441232020000 is a wasteful number, since it uses less digits than its factorization.

42441232020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51951 (or 51928 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42441232020000 its reverse (2023214424), we get a palindrome (42443255234424).

The spelling of 42441232020000 in words is "forty-two trillion, four hundred forty-one billion, two hundred thirty-two million, twenty thousand".