Search a number
-
+
40222402431444 = 2234434412965423
BaseRepresentation
bin10010010010101000000100…
…00000100100100111010100
312021102020001101100010110000
421021110002000210213110
520233000440010301234
6221313525552131300
711320654425365652
oct1111240200444724
9167366041303400
1040222402431444
11118a8252638622
124617455236b30
131959c57c1bb1c
149d0abb975dd2
1549b424cb3899
hex2495020249d4

40222402431444 has 120 divisors (see below), whose sum is σ = 107598720620160. Its totient is φ = 13095168984576.

The previous prime is 40222402431439. The next prime is 40222402431503. The reversal of 40222402431444 is 44413420422204.

40222402431444 is a `hidden beast` number, since 40 + 2 + 2 + 240 + 24 + 314 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40222402431399 and 40222402431408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 614772517 + ... + 614837939.

It is an arithmetic number, because the mean of its divisors is an integer number (896656005168).

Almost surely, 240222402431444 is an apocalyptic number.

It is an amenable number.

40222402431444 is an abundant number, since it is smaller than the sum of its proper divisors (67376318188716).

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

40222402431444 is a wasteful number, since it uses less digits than its factorization.

40222402431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109611 (or 109600 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 40222402431444 its reverse (44413420422204), we get a palindrome (84635822853648).

The spelling of 40222402431444 in words is "forty trillion, two hundred twenty-two billion, four hundred two million, four hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 4644 6966 13932 44129 65423 88258 130846 132387 176516 196269 261692 264774 392538 397161 529548 588807 785076 794322 1177614 1191483 1588644 1766421 1897547 2355228 2382966 2813189 3532842 3574449 3795094 4765932 5299263 5626378 5692641 7065684 7148898 7590188 8439567 10598526 11252756 11385282 14297796 16879134 17077923 21197052 22770564 25318701 33758268 34155846 50637402 51233769 68311692 75956103 101274804 102467538 151912206 153701307 204935076 227868309 303824412 307402614 455736618 614805228 911473236 2887051567 5774103134 8661154701 11548206268 17322309402 25983464103 34644618804 51966928206 77950392309 103933856412 124143217381 155900784618 233851176927 248286434762 311801569236 372429652143 467702353854 496572869524 744859304286 935404707708 1117288956429 1489718608572 2234577912858 3351866869287 4469155825716 6703733738574 10055600607861 13407467477148 20111201215722 40222402431444