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40231521186948 = 223271355399221677
BaseRepresentation
bin10010010010111001000011…
…00001110111010010000100
312021110002120212212220101100
421021130201201313102010
520233123123410440243
6221322034454500100
711321426412465660
oct1111344141672204
9167402525786340
1040231521186948
11119011019705a3
12461917b064630
13195aa7c17b740
149d1304a618a0
1549b7aa5ec0d3
hex249721877484

40231521186948 has 144 divisors (see below), whose sum is σ = 125167556550400. Its totient is φ = 10610271689472.

The previous prime is 40231521186947. The next prime is 40231521186973. The reversal of 40231521186948 is 84968112513204.

40231521186948 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 1 + 521 + 18 + 69 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40231521186894 and 40231521186903.

It is not an unprimeable number, because it can be changed into a prime (40231521186943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181376286 + ... + 181597962.

Almost surely, 240231521186948 is an apocalyptic number.

It is an amenable number.

40231521186948 is an abundant number, since it is smaller than the sum of its proper divisors (84936035363452).

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

40231521186948 is a wasteful number, since it uses less digits than its factorization.

40231521186948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277106 (or 277101 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 40231521186948 in words is "forty trillion, two hundred thirty-one billion, five hundred twenty-one million, one hundred eighty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 55399 110798 166197 221596 221677 332394 387793 443354 498591 664788 665031 720187 775586 886708 997182 1163379 1330062 1440374 1551172 1551739 1994364 1995093 2160561 2326758 2660124 2880748 2881801 3103478 3490137 3990186 4321122 4653516 4655217 5041309 5763602 6206956 6481683 6980274 7980372 8642244 8645403 9310434 10082618 11527204 12963366 13960548 13965651 15123927 17290806 18620868 20165236 20172607 25926732 25936209 27931302 30247854 34581612 40345214 45371781 51872418 55862604 60495708 60517821 80690428 90743562 103744836 121035642 181487124 181553463 242071284 363106926 726213852 12280684123 24561368246 36842052369 49122736492 73684104738 85964788861 110526157107 147368209476 159648893599 171929577722 221052314214 257894366583 319297787198 343859155444 442104628428 478946680797 515788733166 638595574396 773683099749 957893361594 1031577466332 1117542255193 1436840042391 1547366199498 1915786723188 2235084510386 2873680084782 3094732398996 3352626765579 4470169020772 5747360169564 6705253531158 10057880296737 13410507062316 20115760593474 40231521186948