Search a number
-
+
41418964992 = 21434319597
BaseRepresentation
bin100110100100110000…
…110100000000000000
310221220120002102112110
4212210300310000000
51134311223334432
631005544055320
72664254251656
oct464460640000
9127816072473
1041418964992
1116624a20489
12803b164540
133ba1041312
14200cc18dd6
151126375dcc
hex9a4c34000

41418964992 has 120 divisors (see below), whose sum is σ = 113021509216. Its totient is φ = 13484556288.

The previous prime is 41418964991. The next prime is 41418965033. The reversal of 41418964992 is 29946981414.

It is a happy number.

It is a super-2 number, since 2×414189649922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41418964991) 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, 2103738 + ... + 2123334.

Almost surely, 241418964992 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 41418964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56510754608).

41418964992 is an abundant number, since it is smaller than the sum of its proper divisors (71602544224).

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

41418964992 is an equidigital number, since it uses as much as digits as its factorization.

41418964992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19671 (or 19645 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 57.

The spelling of 41418964992 in words is "forty-one billion, four hundred eighteen million, nine hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 4096 4128 5504 6144 8192 8256 11008 12288 16384 16512 19597 22016 24576 33024 39194 44032 49152 58791 66048 78388 88064 117582 132096 156776 176128 235164 264192 313552 352256 470328 528384 627104 704512 842671 940656 1056768 1254208 1685342 1881312 2113536 2508416 2528013 3370684 3762624 5016832 5056026 6741368 7525248 10033664 10112052 13482736 15050496 20067328 20224104 26965472 30100992 40134656 40448208 53930944 60201984 80269312 80896416 107861888 120403968 160538624 161792832 215723776 240807936 321077248 323585664 431447552 481615872 647171328 862895104 963231744 1294342656 1725790208 2588685312 3451580416 5177370624 6903160832 10354741248 13806321664 20709482496 41418964992