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40740407100 = 223252433104543
BaseRepresentation
bin100101111100010100…
…010100011100111100
310220011021021010002200
4211330110110130330
51131414021011400
630414344151500
72641404514041
oct457424243474
9126137233080
1040740407100
1116306996938
127a8ba68590
133ac359b883
141d86a631c8
1510d69dbb00
hex97c51473c

40740407100 has 108 divisors (see below), whose sum is σ = 127994682816. Its totient is φ = 10838914560.

The previous prime is 40740407083. The next prime is 40740407167. The reversal of 40740407100 is 170404704.

40740407100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337429 + ... + 441971.

It is an arithmetic number, because the mean of its divisors is an integer number (1185135952).

Almost surely, 240740407100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40740407100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63997341408).

40740407100 is an abundant number, since it is smaller than the sum of its proper divisors (87254275716).

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

40740407100 is a wasteful number, since it uses less digits than its factorization.

40740407100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104996 (or 104986 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 40740407100 in words is "forty billion, seven hundred forty million, four hundred seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 433 450 866 900 1299 1732 2165 2598 3897 4330 5196 6495 7794 8660 10825 12990 15588 19485 21650 25980 32475 38970 43300 64950 77940 97425 104543 129900 194850 209086 313629 389700 418172 522715 627258 940887 1045430 1254516 1568145 1881774 2090860 2613575 3136290 3763548 4704435 5227150 6272580 7840725 9408870 10454300 15681450 18817740 23522175 31362900 45267119 47044350 90534238 94088700 135801357 181068476 226335595 271602714 407404071 452671190 543205428 679006785 814808142 905342380 1131677975 1358013570 1629616284 2037020355 2263355950 2716027140 3395033925 4074040710 4526711900 6790067850 8148081420 10185101775 13580135700 20370203550 40740407100