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202000420040 = 23553223427279
BaseRepresentation
bin1011110000100000101…
…0011100110011001000
3201022101202102112220112
42330020022130303020
511302144101420130
6232444150013452
720410521145256
oct2741012346310
9638352375815
10202000420040
1178738a75401
1233195647288
13160828b2783
149ac3a495d6
1553c3dbb495
hex2f0829ccc8

202000420040 has 64 divisors (see below), whose sum is σ = 465154099200. Its totient is φ = 78919955712.

The previous prime is 202000420031. The next prime is 202000420079. The reversal of 202000420040 is 40024000202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202000419997 and 202000420024.

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, 259121 + ... + 686399.

It is an arithmetic number, because the mean of its divisors is an integer number (7268032800).

Almost surely, 2202000420040 is an apocalyptic number.

202000420040 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 202000420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232577049600).

202000420040 is an abundant number, since it is smaller than the sum of its proper divisors (263153679160).

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

202000420040 is a wasteful number, since it uses less digits than its factorization.

202000420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427566 (or 427562 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 202000420040 its reverse (40024000202), we get a palindrome (242024420242).

The spelling of 202000420040 in words is "two hundred two billion, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 223 265 424 446 530 892 1060 1115 1784 2120 2230 4460 8920 11819 23638 47276 59095 94552 118190 236380 427279 472760 854558 1709116 2136395 3418232 4272790 8545580 17091160 22645787 45291574 90583148 95283217 113228935 181166296 190566434 226457870 381132868 452915740 476416085 762265736 905831480 952832170 1905664340 3811328680 5050010501 10100021002 20200042004 25250052505 40400084008 50500105010 101000210020 202000420040