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140032121222003 = 3761715997192029
BaseRepresentation
bin11111110101101111000100…
…110101111011001101110011
3200100210221101021222200112012
4133311233010311323031303
5121323241241013101003
61213453511324153135
741331662335130453
oct3765570465731563
9610727337880465
10140032121222003
114068931a88880a
12138571b60987ab
136019c843b403a
14268183b347d63
15112c8544708d8
hex7f5bc4d7b373

140032121222003 has 64 divisors (see below), whose sum is σ = 148760478720000. Its totient is φ = 131657429030400.

The previous prime is 140032121221969. The next prime is 140032121222009. The reversal of 140032121222003 is 300222121230041.

It is a cyclic number.

It is not a de Polignac number, because 140032121222003 - 212 = 140032121217907 is a prime.

It is a super-2 number, since 2×1400321212220032 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 140032121222003.

It is not an unprimeable number, because it can be changed into a prime (140032121222009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69015337193 + ... + 69015339221.

It is an arithmetic number, because the mean of its divisors is an integer number (2324382480000).

Almost surely, 2140032121222003 is an apocalyptic number.

140032121222003 is a deficient number, since it is larger than the sum of its proper divisors (8728357497997).

140032121222003 is a wasteful number, since it uses less digits than its factorization.

140032121222003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 140032121222003 its reverse (300222121230041), we get a palindrome (440254242452044).

The spelling of 140032121222003 in words is "one hundred forty trillion, thirty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, three".

Divisors: 1 37 61 71 599 719 2029 2257 2627 4331 22163 26603 36539 42529 43859 51049 75073 123769 144059 160247 430681 1215371 1351943 1458851 1573573 1622783 1888813 2594269 3113989 4579453 5330183 8787599 15935197 26271541 30578351 44968727 53977487 74137631 86291341 88989911 95987953 103578421 115217593 325141163 873851749 972047017 1131398987 1865279411 2743092347 3192779617 3292626707 3832401577 5263771801 6318283681 32332514713 53304956689 62043474179 69015338207 194759556637 233776496197 1972283397493 2295608544623 3784651924919 140032121222003