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4332322422140 = 22517412111147221
BaseRepresentation
bin111111000010110010100…
…010011111110101111100
3120100011110222221220022012
4333002302202133311330
51031440044020002030
613114124052510352
7624666662663366
oct77026242376574
916304428856265
104332322422140
111420367078039
1259b77201b3b8
132556c81b52cb
1410d985113d36
1577a610e3095
hex3f0b289fd7c

4332322422140 has 96 divisors (see below), whose sum is σ = 9872740297728. Its totient is φ = 1590447104000.

The previous prime is 4332322422059. The next prime is 4332322422151. The reversal of 4332322422140 is 412242232334.

It is a junction number, because it is equal to n+sod(n) for n = 4332322422097 and 4332322422106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29353730 + ... + 29500950.

It is an arithmetic number, because the mean of its divisors is an integer number (102841044768).

Almost surely, 24332322422140 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 4332322422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936370148864).

4332322422140 is an abundant number, since it is smaller than the sum of its proper divisors (5540417875588).

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

4332322422140 is a wasteful number, since it uses less digits than its factorization.

4332322422140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149399 (or 149397 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4332322422140 its reverse (412242232334), we get a palindrome (4744564654474).

The spelling of 4332322422140 in words is "four trillion, three hundred thirty-two billion, three hundred twenty-two million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2111 2788 3485 4222 6970 8444 10555 13940 21110 35887 42220 71774 86551 143548 147221 173102 179435 294442 346204 358870 432755 588884 717740 736105 865510 1471367 1472210 1731020 2502757 2942734 2944420 5005514 5885468 6036061 7356835 10011028 12072122 12513785 14713670 24144244 25027570 29427340 30180305 50055140 60360610 102613037 120721220 205226074 310783531 410452148 513065185 621567062 1026130370 1243134124 1553917655 2052260740 3107835310 5283320027 6215670620 10566640054 12742124771 21133280108 25484249542 26416600135 50968499084 52833200270 63710623855 105666400540 127421247710 216616121107 254842495420 433232242214 866464484428 1083080605535 2166161211070 4332322422140