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202423403401040 = 24597124792090351
BaseRepresentation
bin101110000001101001011111…
…000011011100111101010000
3222112201111012000200020022102
4232001221133003130331100
5203013001112232313130
61554304005554455532
760431415432331523
oct5601513703347520
9875644160606272
10202423403401040
1159553313064088
121a8530182945a8
1388c45a2983083
1437db4b8972bba
15186076d3ab645
hexb81a5f0dcf50

202423403401040 has 80 divisors (see below), whose sum is σ = 475524644474880. Its totient is φ = 80128165785600.

The previous prime is 202423403401039. The next prime is 202423403401127. The reversal of 202423403401040 is 40104304324202.

202423403401040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 202423403400994 and 202423403401012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95791865 + ... + 97882215.

It is an arithmetic number, because the mean of its divisors is an integer number (5944058055936).

Almost surely, 2202423403401040 is an apocalyptic number.

202423403401040 is a gapful number since it is divisible by the number (20) 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 202423403401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237762322237440).

202423403401040 is an abundant number, since it is smaller than the sum of its proper divisors (273101241073840).

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

202423403401040 is a wasteful number, since it uses less digits than its factorization.

202423403401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102940 (or 2102934 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 202423403401040 its reverse (40104304324202), we get a palindrome (242527707725242).

The spelling of 202423403401040 in words is "two hundred two trillion, four hundred twenty-three billion, four hundred three million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 12479 24958 49916 62395 99832 124790 199664 249580 499160 998320 1210463 2090351 2420926 4180702 4841852 6052315 8361404 9683704 10451755 12104630 16722808 19367408 20903510 24209260 33445616 41807020 48418520 83614040 96837040 167228080 202764047 405528094 811056188 1013820235 1622112376 2027640470 3244224752 4055280940 8110561880 16221123760 26085490129 52170980258 104341960516 130427450645 208683921032 260854901290 417367842064 521709802580 1043419605160 2086839210320 2530292542513 5060585085026 10121170170052 12651462712565 20242340340104 25302925425130 40484680680208 50605850850260 101211701700520 202423403401040