Search a number
-
+
422144541441084 = 223711456866386841
BaseRepresentation
bin101111111111100000010111…
…1011011111011110000111100
32001100200121211220210110111110
41133333000233123323300330
5420312404010102103314
64053454305230522020
7154626636161311530
oct13777005733736074
92040617756713443
10422144541441084
111125655493a3550
123b41a534966310
13151720a07b1087
147635c94b99bc0
1533c0e3573aa59
hex17ff02f6fbc3c

422144541441084 has 48 divisors (see below), whose sum is σ = 1228056847831296. Its totient is φ = 109647932841600.

The previous prime is 422144541441067. The next prime is 422144541441113. The reversal of 422144541441084 is 480144145441224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228433192497 + ... + 228433194344.

It is an arithmetic number, because the mean of its divisors is an integer number (25584517663152).

Almost surely, 2422144541441084 is an apocalyptic number.

422144541441084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422144541441084 is an abundant number, since it is smaller than the sum of its proper divisors (805912306390212).

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

422144541441084 is a wasteful number, since it uses less digits than its factorization.

422144541441084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456866386866 (or 456866386864 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 48.

The spelling of 422144541441084 in words is "four hundred twenty-two trillion, one hundred forty-four billion, five hundred forty-one million, four hundred forty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 456866386841 913732773682 1370599160523 1827465547364 2741198321046 3198064707887 5025530255251 5482396642092 6396129415774 9594194123661 10051060510502 12792258831548 15076590765753 19188388247322 20102121021004 30153181531506 35178711786757 38376776494644 60306363063012 70357423573514 105536135360271 140714847147028 211072270720542 422144541441084