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402021124234312 = 2311191009739332233
BaseRepresentation
bin101101101101000101101011…
…0010011010101110001001000
31221201102211210101002020220111
41123122023112103111301020
5410143203230300444222
63543005542125404104
7150452032142313352
oct13332132623256110
91851384711066814
10402021124234312
11107107223a63370
123910a479109634
131434257737424b
14713bcd782a0d2
15317275a8e8777
hex16da2d64d5c48

402021124234312 has 128 divisors (see below), whose sum is σ = 866597680656000. Its totient is φ = 172918811197440.

The previous prime is 402021124234243. The next prime is 402021124234319. The reversal of 402021124234312 is 213432421120204.

It is a super-2 number, since 2×4020211242343122 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402021124234319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12472329748 + ... + 12472361980.

It is an arithmetic number, because the mean of its divisors is an integer number (6770294380125).

Almost surely, 2402021124234312 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 402021124234312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433298840328000).

402021124234312 is an abundant number, since it is smaller than the sum of its proper divisors (464576556421688).

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

402021124234312 is a wasteful number, since it uses less digits than its factorization.

402021124234312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40671 (or 40667 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 402021124234312 its reverse (213432421120204), we get a palindrome (615453545354516).

The spelling of 402021124234312 in words is "four hundred two trillion, twenty-one billion, one hundred twenty-four million, two hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1009 1672 2018 4036 7393 8072 11099 14786 19171 22198 29572 32233 38342 44396 59144 64466 76684 81323 88792 128932 140467 153368 162646 210881 257864 280934 325292 354563 421762 561868 612427 650584 709126 843524 1123736 1224854 1418252 1545137 1687048 2449708 2836504 3090274 4899416 6180548 6736697 7459537 12361096 13473394 14919074 26946788 29838148 32523097 53893576 59676296 65046194 82054907 130092388 141731203 164109814 238298569 260184776 283462406 328219628 357754067 476597138 566924812 617938843 656439256 715508134 953194276 1133849624 1235877686 1431016268 1559043233 1906388552 2471755372 2621284259 2862032536 3118086466 4527672811 4943510744 5242568518 6236172932 6797327273 9055345622 10485137036 12472345864 13594654546 18110691244 20970274072 27189309092 36221382488 49804400921 54378618184 99608801842 199217603684 240443256121 398435207368 480886512242 961773024484 1923546048968 2644875817331 4568421866299 5289751634662 9136843732598 10579503269324 18273687465196 21159006538648 36547374930392 50252640529289 100505281058578 201010562117156 402021124234312