Search a number
-
+
141314444442 = 23219376153453
BaseRepresentation
bin1000001110011011111…
…1110100110010011010
3111111202110001120112200
42003212333310302122
54303402444210232
6144530254551030
713131621646563
oct2034677646232
9444673046480
10141314444442
1154a27357766
1223479b08476
1310430cb6782
146ba802d16a
153a2131677c
hex20e6ff4c9a

141314444442 has 48 divisors (see below), whose sum is σ = 308177918568. Its totient is φ = 46798295040.

The previous prime is 141314444423. The next prime is 141314444461. The reversal of 141314444442 is 244444413141.

141314444442 is a `hidden beast` number, since 1 + 4 + 131 + 44 + 44 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (141314444423) and next prime (141314444461).

It can be written as a sum of positive squares in 4 ways, for example, as 62679628881 + 78634815561 = 250359^2 + 280419^2 .

It is a super-2 number, since 2×1413144444422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141314444397 and 141314444406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2616988 + ... + 2670440.

Almost surely, 2141314444442 is an apocalyptic number.

141314444442 is an abundant number, since it is smaller than the sum of its proper divisors (166863474126).

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

141314444442 is a wasteful number, since it uses less digits than its factorization.

141314444442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54415 (or 54412 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 141314444442 its reverse (244444413141), we get a palindrome (385758857583).

The spelling of 141314444442 in words is "one hundred forty-one billion, three hundred fourteen million, four hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 193 386 579 761 1158 1522 1737 2283 3474 4566 6849 13698 53453 106906 146873 160359 293746 320718 440619 481077 881238 962154 1321857 2643714 10316429 20632858 30949287 40677733 61898574 81355466 92847861 122033199 185695722 244066398 366099597 732199194 7850802469 15701604938 23552407407 47104814814 70657222221 141314444442