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402422214430100 = 225223713467710791
BaseRepresentation
bin101101110000000000011100…
…1001001000000110110010100
31221202212012002001001022101002
41123200000321021000312110
5410221241143343230400
63543514114012322432
7150523021422604634
oct13340007111006624
91852765061038332
10402422214430100
11107251336a13a17
1239174155473418
131437133780c847
1471534a66d86c4
15317cdd2d8ced5
hex16e0039240d94

402422214430100 has 144 divisors (see below), whose sum is σ = 924325835360256. Its totient is φ = 151757645424000.

The previous prime is 402422214430057. The next prime is 402422214430129. The reversal of 402422214430100 is 1034412224204.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565805705 + ... + 566516495.

It is an arithmetic number, because the mean of its divisors is an integer number (6418929412224).

Almost surely, 2402422214430100 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 402422214430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462162917680128).

402422214430100 is an abundant number, since it is smaller than the sum of its proper divisors (521903620930156).

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

402422214430100 is a wasteful number, since it uses less digits than its factorization.

402422214430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714366 (or 714359 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 402422214430100 its reverse (1034412224204), we get a palindrome (403456626654304).

The spelling of 402422214430100 in words is "four hundred two trillion, four hundred twenty-two billion, two hundred fourteen million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 71 92 100 115 142 230 284 355 460 575 710 1150 1420 1633 1775 2300 3266 3467 3550 6532 6934 7100 8165 13868 16330 17335 32660 34670 40825 69340 79741 81650 86675 159482 163300 173350 246157 318964 346700 398705 492314 710791 797410 984628 1230785 1421582 1594820 1993525 2461570 2843164 3553955 3987050 4923140 5661611 6153925 7107910 7974100 11323222 12307850 14215820 16348193 17769775 22646444 24615700 28308055 32696386 35539550 50466161 56616110 65392772 71079100 81740965 100932322 113232220 141540275 163481930 201864644 252330805 283080550 326963860 408704825 504661610 566161100 817409650 1009323220 1160721703 1261654025 1634819300 2321443406 2464312397 2523308050 4642886812 4928624794 5046616100 5803608515 9857249588 11607217030 12321561985 23214434060 24643123970 29018042575 49286247940 56679185131 58036085150 61607809925 113358370262 116072170300 123215619850 174966180187 226716740524 246431239700 283395925655 349932360374 566791851310 699864720748 874830900935 1133583702620 1416979628275 1749661801870 2833959256550 3499323603740 4024222144301 4374154504675 5667918513100 8048444288602 8748309009350 16096888577204 17496618018700 20121110721505 40242221443010 80484442886020 100605553607525 201211107215050 402422214430100