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402200132023140 = 2235114996071219747
BaseRepresentation
bin101101101110011001000001…
…1111111110111001101100100
31221202001221211201211010022020
41123130302003333313031210
5410204121332244220030
63543224105003503140
7150501000132362463
oct13334620377671544
91852057751733266
10402200132023140
11107176133211610
12391390b6527ab0
1314356404577899
1471468399449da
153177235e5d510
hex16dcc83ff7364

402200132023140 has 96 divisors (see below), whose sum is σ = 1228542051308544. Its totient is φ = 97502787212160.

The previous prime is 402200132023097. The next prime is 402200132023159. The reversal of 402200132023140 is 41320231002204.

It is a happy number.

It is a super-2 number, since 2×4022001320231402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 402200132023140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329130747 + ... + 330350493.

It is an arithmetic number, because the mean of its divisors is an integer number (12797313034464).

Almost surely, 2402200132023140 is an apocalyptic number.

It is an amenable number.

402200132023140 is an abundant number, since it is smaller than the sum of its proper divisors (826341919285404).

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

402200132023140 is a wasteful number, since it uses less digits than its factorization.

402200132023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719377 (or 1719375 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 402200132023140 its reverse (41320231002204), we get a palindrome (443520363025344).

The spelling of 402200132023140 in words is "four hundred two trillion, two hundred billion, one hundred thirty-two million, twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 499607 999214 1219747 1498821 1998428 2439494 2498035 2997642 3659241 4878988 4996070 5495677 5995284 6098735 7318482 7494105 9992140 10991354 12197470 13417217 14636964 14988210 16487031 18296205 21982708 24394940 26834434 27478385 29976420 32974062 36592410 40251651 53668868 54956770 65948124 67086085 73184820 80503302 82435155 109913540 134172170 161006604 164870310 201258255 268344340 329740620 402516510 805033020 609394139429 1218788278858 1828182418287 2437576557716 3046970697145 3656364836574 6093941394290 6703335533719 7312729673148 9140912091435 12187882788580 13406671067438 18281824182870 20110006601157 26813342134876 33516677668595 36563648365740 40220013202314 67033355337190 80440026404628 100550033005785 134066710674380 201100066011570 402200132023140