Search a number
-
+
40230422241201 = 341741739761441
BaseRepresentation
bin10010010010110111000000…
…00001101101111110110001
312021102222202022000200020000
421021123200001231332301
520233113401043204301
6221321333440340213
711321360236553343
oct1111334001557661
9167388668020200
1040230422241201
1111900698606375
124618b13014669
13195a9355a989a
149d123cb19293
1549b743dc3786
hex2496e006dfb1

40230422241201 has 80 divisors (see below), whose sum is σ = 66077387461008. Its totient is φ = 24289586380800.

The previous prime is 40230422241181. The next prime is 40230422241211. The reversal of 40230422241201 is 10214222403204.

It is a happy number.

40230422241201 is a `hidden beast` number, since 4 + 0 + 2 + 30 + 422 + 2 + 4 + 1 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 141960154176 + 40088462087025 = 376776^2 + 6331545^2 .

It is not a de Polignac number, because 40230422241201 - 26 = 40230422241137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40230422241211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 759360 + ... + 9002081.

Almost surely, 240230422241201 is an apocalyptic number.

40230422241201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40230422241201 is a deficient number, since it is larger than the sum of its proper divisors (25846965219807).

40230422241201 is a wasteful number, since it uses less digits than its factorization.

40230422241201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761584 (or 9761575 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40230422241201 its reverse (10214222403204), we get a palindrome (50444644644405).

The spelling of 40230422241201 in words is "forty trillion, two hundred thirty billion, four hundred twenty-two million, two hundred forty-one thousand, two hundred one".

Divisors: 1 3 9 17 27 41 51 73 81 123 153 219 369 459 657 697 1107 1241 1377 1971 2091 2993 3321 3723 5913 6273 8979 11169 18819 26937 33507 50881 56457 80811 100521 152643 242433 457929 1373787 4121361 9761441 29284323 87852969 165944497 263558907 400219081 497833491 712585193 790676721 1200657243 1493500473 2137755579 3601971729 4480501419 6413266737 6803724377 10805915187 12113948281 13441504257 19239800211 20411173131 29215992913 32417745561 36341844843 57719400633 61233519393 87647978739 109025534529 183700558179 262943936217 327076603587 496671879521 551101674537 788831808651 981229810761 1490015638563 2366495425953 4470046915689 13410140747067 40230422241201