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140122010041040 = 2456733972601029
BaseRepresentation
bin11111110111000010110010…
…101000100011101011010000
3200101010112101210122211001002
4133313002302220203223100
5121331224334032303130
61214003055053401132
741341324014363326
oct3767026250435320
9611115353584032
10140122010041040
1140713457770a05
12138707017991a8
1360255ab179561
142685d27583d16
15112ed65b89b45
hex7f70b2a23ad0

140122010041040 has 40 divisors (see below), whose sum is σ = 325784282388840. Its totient is φ = 56048699234816.

The previous prime is 140122010041021. The next prime is 140122010041049. The reversal of 140122010041040 is 40140010221041.

It can be written as a sum of positive squares in 4 ways, for example, as 7497673523344 + 132624336517696 = 2738188^2 + 11516264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1401220100410403 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140122010041049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52571246 + ... + 55172274.

It is an arithmetic number, because the mean of its divisors is an integer number (8144607059721).

Almost surely, 2140122010041040 is an apocalyptic number.

140122010041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140122010041040 is an abundant number, since it is smaller than the sum of its proper divisors (185662272347800).

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

140122010041040 is a wasteful number, since it uses less digits than its factorization.

140122010041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274439 (or 3274433 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 140122010041040 its reverse (40140010221041), we get a palindrome (180262020262081).

The spelling of 140122010041040 in words is "one hundred forty trillion, one hundred twenty-two billion, ten million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 673397 1346794 2601029 2693588 3366985 5202058 5387176 6733970 10404116 10774352 13005145 13467940 20808232 26010290 26935880 41616464 52020580 53871760 104041160 208082320 1751525125513 3503050251026 7006100502052 8757625627565 14012201004104 17515251255130 28024402008208 35030502510260 70061005020520 140122010041040