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240340105330140 = 223541165475904347
BaseRepresentation
bin110110101001011010001010…
…100110100111110111011100
31011111222021211011201221220210
4312221122022212213313130
5223000213013431031030
62211054415315212420
7101423666601106524
oct6651321246476734
91144867734657823
10240340105330140
116a641736894862
1222b57632ba7110
13a414c894c640a
14434c7477ca684
151cbbbe730abb0
hexda968a9a7ddc

240340105330140 has 96 divisors (see below), whose sum is σ = 689407543367424. Its totient is φ = 62523717706240.

The previous prime is 240340105330111. The next prime is 240340105330147. The reversal of 240340105330140 is 41033501043042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240340105330098 and 240340105330107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240340105330147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37753447 + ... + 43657793.

It is an arithmetic number, because the mean of its divisors is an integer number (7181328576744).

Almost surely, 2240340105330140 is an apocalyptic number.

240340105330140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240340105330140 is an abundant number, since it is smaller than the sum of its proper divisors (449067438037284).

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

240340105330140 is a wasteful number, since it uses less digits than its factorization.

240340105330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920947 (or 5920945 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 240340105330140 its reverse (41033501043042), we get a palindrome (281373606373182).

The spelling of 240340105330140 in words is "two hundred forty trillion, three hundred forty billion, one hundred five million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 16547 33094 49641 66188 82735 99282 165470 198564 248205 330940 496410 678427 992820 1356854 2035281 2713708 3392135 4070562 5904347 6784270 8141124 10176405 11808694 13568540 17713041 20352810 23617388 29521735 35426082 40705620 59043470 70852164 88565205 118086940 177130410 242078227 354260820 484156454 726234681 968312908 1210391135 1452469362 2420782270 2904938724 3631173405 4841564540 7262346810 14524693620 97699229809 195398459618 293097689427 390796919236 488496149045 586195378854 976992298090 1172390757708 1465488447135 1953984596180 2930976894270 4005668422169 5861953788540 8011336844338 12017005266507 16022673688676 20028342110845 24034010533014 40056684221690 48068021066028 60085026332535 80113368443380 120170052665070 240340105330140