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140121415311440 = 24511315500156561
BaseRepresentation
bin11111110111000010001111…
…001011110110000001010000
3200101010110212100120102101212
4133313002033023312001100
5121331222124304431230
61214002520050315252
741341303203304643
oct3767021713660120
9611113770512355
10140121415311440
1140713181a92842
1213870576588b28
136025514ba7854
142685cac5ada5a
15112ed2d85d895
hex7f708f2f6050

140121415311440 has 40 divisors (see below), whose sum is σ = 328665319740648. Its totient is φ = 55552561111040.

The previous prime is 140121415311281. The next prime is 140121415311511. The reversal of 140121415311440 is 44113514121041.

It can be written as a sum of positive squares in 4 ways, for example, as 157088566336 + 139964326745104 = 396344^2 + 11830652^2 .

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

It is a super-2 number, since 2×1401214153114402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140121415311397 and 140121415311406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7750069241 + ... + 7750087320.

Almost surely, 2140121415311440 is an apocalyptic number.

140121415311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140121415311440 is an abundant number, since it is smaller than the sum of its proper divisors (188543904429208).

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

140121415311440 is a wasteful number, since it uses less digits than its factorization.

140121415311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15500156687 (or 15500156681 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 140121415311440 its reverse (44113514121041), we get a palindrome (184234929432481).

The spelling of 140121415311440 in words is "one hundred forty trillion, one hundred twenty-one billion, four hundred fifteen million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 15500156561 31000313122 62000626244 77500782805 124001252488 155001565610 248002504976 310003131220 620006262440 1240012524880 1751517691393 3503035382786 7006070765572 8757588456965 14012141531144 17515176913930 28024283062288 35030353827860 70060707655720 140121415311440