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4074040706742 = 233895571521901
BaseRepresentation
bin111011010010001111101…
…111111100011010110110
3112102110210220100022102000
4323102033233330122312
51013222113410103432
612355331035200130
7600224345426646
oct73221757743266
915373726308360
104074040706742
1113308778504a6
125596abba6046
13237246417c06
14101282864526
1570e961d257c
hex3b48fbfc6b6

4074040706742 has 64 divisors (see below), whose sum is σ = 9171590212800. Its totient is φ = 1340343417600.

The previous prime is 4074040706737. The next prime is 4074040706753. The reversal of 4074040706742 is 2476070404704.

4074040706742 is a `hidden beast` number, since 407 + 40 + 40 + 70 + 67 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1915992 + ... + 3437892.

It is an arithmetic number, because the mean of its divisors is an integer number (143306097075).

Almost surely, 24074040706742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074040706742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585795106400).

4074040706742 is an abundant number, since it is smaller than the sum of its proper divisors (5097549506058).

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

4074040706742 is a wasteful number, since it uses less digits than its factorization.

4074040706742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522558 (or 1522552 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 4074040706742 in words is "four trillion, seventy-four billion, forty million, seven hundred six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 557 801 1114 1602 1671 2403 3342 4806 5013 10026 15039 30078 49573 99146 148719 297438 446157 892314 1338471 1521901 2676942 3043802 4565703 9131406 13697109 27394218 41091327 82182654 135449189 270898378 406347567 812695134 847698857 1219042701 1695397714 2438085402 2543096571 3657128103 5086193142 7314256206 7629289713 15258579426 22887869139 45775738278 75445198273 150890396546 226335594819 452671189638 679006784457 1358013568914 2037020353371 4074040706742