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140011422340 = 225174117358057
BaseRepresentation
bin1000001001100101010…
…1001100001010000100
3111101101122012012020211
42002121111030022010
54243220411003330
6144153110405204
713054420311406
oct2023125141204
9441348165224
10140011422340
1154418885999
1223175660804
131028406108a
146ac2d62b76
153996c2ad2a
hex209954c284

140011422340 has 96 divisors (see below), whose sum is σ = 320761625184. Its totient is φ = 51126435840.

The previous prime is 140011422337. The next prime is 140011422373. The reversal of 140011422340 is 43224110041.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 18784895364 + 121226526976 = 137058^2 + 348176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2382592 + ... + 2440648.

It is an arithmetic number, because the mean of its divisors is an integer number (3341266929).

Almost surely, 2140011422340 is an apocalyptic number.

140011422340 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 140011422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160380812592).

140011422340 is an abundant number, since it is smaller than the sum of its proper divisors (180750202844).

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

140011422340 is a wasteful number, since it uses less digits than its factorization.

140011422340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58297 (or 58295 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 140011422340 its reverse (43224110041), we get a palindrome (183235532381).

It can be divided in two parts, 14001 and 1422340, that added together give a palindrome (1436341).

The spelling of 140011422340 in words is "one hundred forty billion, eleven million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 173 205 340 346 410 692 697 820 865 1394 1730 2788 2941 3460 3485 5882 6970 7093 11764 13940 14186 14705 28372 29410 35465 58057 58820 70930 116114 120581 141860 232228 241162 290285 482324 580570 602905 986969 1161140 1205810 1973938 2380337 2411620 3947876 4760674 4934845 9521348 9869690 10043861 11901685 19739380 20087722 23803370 40175444 40465729 47606740 50219305 80931458 100438610 161862916 170745637 200877220 202328645 341491274 404657290 411798301 682982548 809314580 823596602 853728185 1647193204 1707456370 2058991505 3414912740 4117983010 7000571117 8235966020 14001142234 28002284468 35002855585 70005711170 140011422340