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41240422144 = 2810311313841
BaseRepresentation
bin100110011010000111…
…101110011100000000
310221110010010111210101
4212122013232130000
51133430022002034
630540125212144
72656655542615
oct463207563400
9127403114711
1041240422144
1116543163609
127bab401054
133b7305a76c
141dd322050c
151115859514
hex99a1ee700

41240422144 has 72 divisors (see below), whose sum is σ = 83860594272. Its totient is φ = 20237844480.

The previous prime is 41240422141. The next prime is 41240422183. The reversal of 41240422144 is 44122404214.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41240422141) 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, 2972664 + ... + 2986504.

It is an arithmetic number, because the mean of its divisors is an integer number (1164730476).

Almost surely, 241240422144 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 41240422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41930297136).

41240422144 is an abundant number, since it is smaller than the sum of its proper divisors (42620172128).

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

41240422144 is a wasteful number, since it uses less digits than its factorization.

41240422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14073 (or 14059 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 41240422144 its reverse (44122404214), we get a palindrome (85362826358).

The spelling of 41240422144 in words is "forty-one billion, two hundred forty million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 103 113 128 206 226 256 412 452 824 904 1648 1808 3296 3616 6592 7232 11639 13184 13841 14464 23278 26368 27682 28928 46556 55364 93112 110728 186224 221456 372448 442912 744896 885824 1425623 1489792 1564033 1771648 2851246 2979584 3128066 3543296 5702492 6256132 11404984 12512264 22809968 25024528 45619936 50049056 91239872 100098112 161095399 182479744 200196224 322190798 364959488 400392448 644381596 1288763192 2577526384 5155052768 10310105536 20620211072 41240422144