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140107968009 = 321723734991093
BaseRepresentation
bin1000001001111100010…
…1011110111000001001
3111101122100212020000100
42002133011132320021
54243420114434014
6144210440000013
713060002035562
oct2023705367011
9441570766010
10140107968009
11544683280a9
12231a1a60009
131029b0654a9
146ad1ad5169
1539a044c009
hex209f15ee09

140107968009 has 96 divisors (see below), whose sum is σ = 227324448000. Its totient is φ = 82694836224.

The previous prime is 140107967999. The next prime is 140107968031. The reversal of 140107968009 is 900869701041.

It is a happy number.

It is not a de Polignac number, because 140107968009 - 29 = 140107967497 is a prime.

It is a super-2 number, since 2×1401079680092 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140107968079) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128186067 + ... + 128187159.

It is an arithmetic number, because the mean of its divisors is an integer number (2367963000).

Almost surely, 2140107968009 is an apocalyptic number.

It is an amenable number.

140107968009 is a deficient number, since it is larger than the sum of its proper divisors (87216479991).

140107968009 is a wasteful number, since it uses less digits than its factorization.

140107968009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 140107968009 in words is "one hundred forty billion, one hundred seven million, nine hundred sixty-eight thousand, nine".

Divisors: 1 3 9 17 23 51 69 73 153 207 219 391 499 657 1093 1173 1241 1497 1679 3279 3519 3723 4491 5037 8483 9837 11169 11477 15111 18581 25139 25449 28543 34431 36427 55743 75417 76347 79789 85629 103293 109281 167229 195109 226251 239367 256887 327843 427363 545407 585327 619259 718101 837821 1282089 1356413 1636221 1755981 1835147 1857777 2513463 3846267 4069239 4908663 5505441 5573331 7540389 9271919 12207717 12544361 14242957 16516323 27815757 31197499 37633083 39814711 42728871 83447271 93592497 112899249 119444133 128186613 213254137 280777491 358332399 639762411 676850087 915738353 1919287233 2030550261 2747215059 6091650783 8241645177 15567552001 46702656003 140107968009