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140055400340 = 225193124149333
BaseRepresentation
bin1000001001101111110…
…0111100111110010100
3111101111200221111201122
42002123330330332110
54243313140302330
6144201321143112
713055463155222
oct2023374747624
9441450844648
10140055400340
1154440693249
122318832aa98
13102901bb46b
146ac8b2db12
15399aa165e5
hex209bf3cf94

140055400340 has 96 divisors (see below), whose sum is σ = 320915696640. Its totient is φ = 51147417600.

The previous prime is 140055400339. The next prime is 140055400349. The reversal of 140055400340 is 43004550041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140055400349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2814314 + ... + 2863646.

It is an arithmetic number, because the mean of its divisors is an integer number (3342871840).

Almost surely, 2140055400340 is an apocalyptic number.

140055400340 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 140055400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160457848320).

140055400340 is an abundant number, since it is smaller than the sum of its proper divisors (180860296300).

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

140055400340 is a wasteful number, since it uses less digits than its factorization.

140055400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49633 (or 49631 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 140055400340 its reverse (43004550041), we get a palindrome (183059950381).

The spelling of 140055400340 in words is "one hundred forty billion, fifty-five million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 241 310 380 482 589 620 964 1178 1205 2356 2410 2945 4579 4820 5890 7471 9158 11780 14942 18316 22895 29884 37355 45790 49333 74710 91580 98666 141949 149420 197332 246665 283898 493330 567796 709745 937327 986660 1419490 1529323 1874654 2838980 3058646 3749308 4686635 6117292 7646615 9373270 11889253 15293230 18746540 23778506 29057137 30586460 47557012 58114274 59446265 116228548 118892530 145285685 225895807 237785060 290571370 368566843 451791614 581142740 737133686 903583228 1129479035 1474267372 1842834215 2258958070 3685668430 4517916140 7002770017 7371336860 14005540034 28011080068 35013850085 70027700170 140055400340