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140450252520 = 233517229300647
BaseRepresentation
bin1000001011001101111…
…1001100011011101000
3111102112012221002002110
42002303133030123220
54300120231040040
6144304424202320
713101326306604
oct2026337143350
9442465832073
10140450252520
1154623562566
12232786093a0
1310323c498c6
146b25354504
1539c050e980
hex20b37cc6e8

140450252520 has 128 divisors (see below), whose sum is σ = 448085779200. Its totient is φ = 35096211456.

The previous prime is 140450252489. The next prime is 140450252539. The reversal of 140450252520 is 25252054041.

140450252520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 316837 + ... + 617483.

It is an arithmetic number, because the mean of its divisors is an integer number (3500670150).

Almost surely, 2140450252520 is an apocalyptic number.

140450252520 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 140450252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224042889600).

140450252520 is an abundant number, since it is smaller than the sum of its proper divisors (307635526680).

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

140450252520 is a wasteful number, since it uses less digits than its factorization.

140450252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300907 (or 300903 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 140450252520 in words is "one hundred forty billion, four hundred fifty million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 229 255 340 408 458 510 680 687 916 1020 1145 1374 1832 2040 2290 2748 3435 3893 4580 5496 6870 7786 9160 11679 13740 15572 19465 23358 27480 31144 38930 46716 58395 77860 93432 116790 155720 233580 300647 467160 601294 901941 1202588 1503235 1803882 2405176 3006470 3607764 4509705 5110999 6012940 7215528 9019410 10221998 12025880 15332997 18038820 20443996 25554995 30665994 36077640 40887992 51109990 61331988 68848163 76664985 102219980 122663976 137696326 153329970 204439960 206544489 275392652 306659940 344240815 413088978 550785304 613319880 688481630 826177956 1032722445 1170418771 1376963260 1652355912 2065444890 2340837542 2753926520 3511256313 4130889780 4681675084 5852093855 7022512626 8261779560 9363350168 11704187710 14045025252 17556281565 23408375420 28090050504 35112563130 46816750840 70225126260 140450252520