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140406223524 = 223771139169369
BaseRepresentation
bin1000001011000011011…
…1001111001010100100
3111102102011002011122220
42002300313033022210
54300022443123044
6144300212352340
713100253131310
oct2026067171244
9442364064586
10140406223524
115460071a966
12232659156b0
1310317aa2248
146b1d572b40
1539bb714019
hex20b0dcf2a4

140406223524 has 96 divisors (see below), whose sum is σ = 382423910400. Its totient is φ = 39266277120.

The previous prime is 140406223493. The next prime is 140406223547. The reversal of 140406223524 is 425322604041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744312 + ... + 913680.

It is an arithmetic number, because the mean of its divisors is an integer number (3983582400).

Almost surely, 2140406223524 is an apocalyptic number.

140406223524 is a gapful number since it is divisible by the number (14) 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 140406223524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191211955200).

140406223524 is an abundant number, since it is smaller than the sum of its proper divisors (242017686876).

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

140406223524 is a wasteful number, since it uses less digits than its factorization.

140406223524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169593 (or 169591 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 140406223524 its reverse (425322604041), we get a palindrome (565728827565).

The spelling of 140406223524 in words is "one hundred forty billion, four hundred six million, two hundred twenty-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 139 142 213 278 284 417 426 497 556 834 852 973 994 1491 1668 1946 1988 2919 2982 3892 5838 5964 9869 11676 19738 29607 39476 59214 69083 118428 138166 169369 207249 276332 338738 414498 508107 677476 828996 1016214 1185583 2032428 2371166 3556749 4742332 7113498 12025199 14226996 23542291 24050398 36075597 47084582 48100796 70626873 72151194 84176393 94169164 141253746 144302388 164796037 168352786 252529179 282507492 329592074 336705572 494388111 505058358 659184148 988776222 1010116716 1671502661 1977552444 3343005322 5014507983 6686010644 10029015966 11700518627 20058031932 23401037254 35101555881 46802074508 70203111762 140406223524