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10140404103240 = 2335611850374869
BaseRepresentation
bin1001001110001111111100…
…1011110011100001001000
31022220102011012022201000020
42103203333023303201020
52312120021422300430
633322234244140440
72064422444465205
oct223437713634110
938812135281006
1010140404103240
11325a580835984
121179340997720
1358730b667658
14270b262accac
15128b96388b10
hex938ff2f3848

10140404103240 has 128 divisors (see below), whose sum is σ = 30922004793600. Its totient is φ = 2659598853120.

The previous prime is 10140404103161. The next prime is 10140404103257. The reversal of 10140404103240 is 4230140404101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10140404103240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135404526 + ... + 135479394.

It is an arithmetic number, because the mean of its divisors is an integer number (241578162450).

Almost surely, 210140404103240 is an apocalyptic number.

10140404103240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140404103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461002396800).

10140404103240 is an abundant number, since it is smaller than the sum of its proper divisors (20781600690360).

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

10140404103240 is a wasteful number, since it uses less digits than its factorization.

10140404103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93447 (or 93443 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10140404103240 its reverse (4230140404101), we get a palindrome (14370544507341).

The spelling of 10140404103240 in words is "ten trillion, one hundred forty billion, four hundred four million, one hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 18503 37006 55509 74012 74869 92515 111018 148024 149738 185030 222036 224607 277545 299476 370060 374345 444072 449214 555090 598952 740120 748690 898428 1110180 1123035 1128683 1497380 1796856 2220360 2246070 2257366 2994760 3386049 4492140 4514732 4567009 5643415 6772098 8984280 9029464 9134018 11286830 13544196 13701027 16930245 18268036 22573660 22835045 27088392 27402054 33860490 36536072 45147320 45670090 54804108 67720980 68505135 91340180 109608216 135441960 137010270 182680360 274020540 548041080 1385301107 2770602214 4155903321 5541204428 6926505535 8311806642 11082408856 13853011070 16623613284 20779516605 27706022140 33247226568 41559033210 55412044280 83118066420 84503367527 166236132840 169006735054 253510102581 338013470108 422516837635 507020205162 676026940216 845033675270 1014040410324 1267550512905 1690067350540 2028080820648 2535101025810 3380134701080 5070202051620 10140404103240