Search a number
-
+
141004434011120 = 24512799713770287
BaseRepresentation
bin100000000011111000100111…
…001100110111001111110000
3200111020220002110001001212022
4200003320213030313033300
5121440204040101323440
61215520313121451012
741462143215356201
oct4003704714671760
9614226073031768
10141004434011120
1140a23710026339
121399372b7a0a68
13608a8794b9b54
1426b69185835a8
151147cb0158cb5
hex803e273373f0

141004434011120 has 40 divisors (see below), whose sum is σ = 327837894156864. Its totient is φ = 56401328859392.

The previous prime is 141004434011117. The next prime is 141004434011159. The reversal of 141004434011120 is 21110434400141.

It is a happy number.

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

It is a super-2 number, since 2×1410044340111202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141004434011120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3354617 + ... + 17124903.

Almost surely, 2141004434011120 is an apocalyptic number.

141004434011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141004434011120 is an abundant number, since it is smaller than the sum of its proper divisors (186833460145744).

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

141004434011120 is a wasteful number, since it uses less digits than its factorization.

141004434011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13898297 (or 13898291 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 141004434011120 its reverse (21110434400141), we get a palindrome (162114868411261).

The spelling of 141004434011120 in words is "one hundred forty-one trillion, four billion, four hundred thirty-four million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127997 255994 511988 639985 1023976 1279970 2047952 2559940 5119880 10239760 13770287 27540574 55081148 68851435 110162296 137702870 220324592 275405740 550811480 1101622960 1762555425139 3525110850278 7050221700556 8812777125695 14100443401112 17625554251390 28200886802224 35251108502780 70502217005560 141004434011120