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140410221294 = 23717479571719
BaseRepresentation
bin1000001011000100011…
…0011111001011101110
3111102102102121021120110
42002301012133023232
54300030004040134
6144300434200450
713100332121520
oct2026106371356
9442372537513
10140410221294
1154602a00502
1223267123126
1310318871aa5
146b1dcd3a10
1539bbc537e9
hex20b119f2ee

140410221294 has 128 divisors (see below), whose sum is σ = 341596569600. Its totient is φ = 37560245760.

The previous prime is 140410221283. The next prime is 140410221361. The reversal of 140410221294 is 492122014041.

140410221294 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 195285067 + ... + 195285785.

It is an arithmetic number, because the mean of its divisors is an integer number (2668723200).

Almost surely, 2140410221294 is an apocalyptic number.

140410221294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140410221294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170798284800).

140410221294 is an abundant number, since it is smaller than the sum of its proper divisors (201186348306).

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

140410221294 is a wasteful number, since it uses less digits than its factorization.

140410221294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 140410221294 in words is "one hundred forty billion, four hundred ten million, two hundred twenty-one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 479 571 714 719 958 1142 1437 1438 1713 2157 2874 3353 3426 3997 4314 5033 6706 7994 8143 9707 10059 10066 11991 12223 15099 16286 19414 20118 23982 24429 24446 29121 30198 36669 48858 57001 58242 67949 73338 85561 114002 135898 171003 171122 203847 256683 273509 342006 344401 407694 410549 513366 547018 688802 820527 821098 1033203 1231647 1641054 1914563 2066406 2410807 2463294 2873843 3829126 4649653 4821614 5743689 5747686 5854817 6979333 7232421 8621529 9299306 11487378 11709634 13948959 13958666 14464842 17243058 17564451 20937999 27897918 32547571 35128902 40983719 41875998 48855331 65095142 81967438 97642713 97710662 122951157 146565993 195285426 196652971 245902314 293131986 393305942 589958913 1179917826 1376570797 2753141594 3343100507 4129712391 6686201014 8259424782 10029301521 20058603042 23401703549 46803407098 70205110647 140410221294