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140403794688 = 283345072
BaseRepresentation
bin1000001011000010110…
…1111110001100000000
3111102101222111202221000
42002300231332030000
54300021332412223
6144300044332000
713100223364203
oct2026055761400
9442358452830
10140403794688
11545aa311063
1223264b44000
1310317431871
146b1d0dd93a
1539bb3d4543
hex20b0b7e300

140403794688 has 108 divisors (see below), whose sum is σ = 415290865080. Its totient is φ = 46790880768.

The previous prime is 140403794627. The next prime is 140403794723. The reversal of 140403794688 is 886497304041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

140403794688 is a `hidden beast` number, since 140 + 4 + 0 + 37 + 9 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31150131 + ... + 31154637.

Almost surely, 2140403794688 is an apocalyptic number.

140403794688 is a gapful number since it is divisible by the number (18) 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 140403794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207645432540).

140403794688 is an abundant number, since it is smaller than the sum of its proper divisors (274887070392).

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

140403794688 is an frugal number, since it uses more digits than its factorization.

140403794688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 140403794688 in words is "one hundred forty billion, four hundred three million, seven hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 4507 6912 9014 13521 18028 27042 36056 40563 54084 72112 81126 108168 121689 144224 162252 216336 243378 288448 324504 432672 486756 576896 649008 865344 973512 1153792 1298016 1730688 1947024 2596032 3461376 3894048 5192064 7788096 10384128 15576192 20313049 31152384 40626098 60939147 81252196 121878294 162504392 182817441 243756588 325008784 365634882 487513176 548452323 650017568 731269764 975026352 1096904646 1300035136 1462539528 1950052704 2193809292 2600070272 2925079056 3900105408 4387618584 5200140544 5850158112 7800210816 8775237168 11700316224 15600421632 17550474336 23400632448 35100948672 46801264896 70201897344 140403794688