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14342010123120 = 2435349353948383
BaseRepresentation
bin1101000010110100001001…
…1010110011001101110000
31212210002020100022100112120
43100231002122303031300
53334434414042414440
650300343430554240
73010114244420121
oct320550232631560
955702210270476
1014342010123120
11462a4599011a9
1217376b2208980
138005a4415074
1437822ab10048
1519d1067a5dd0
hexd0b426b3370

14342010123120 has 160 divisors (see below), whose sum is σ = 44601145344000. Its totient is φ = 3812421092352.

The previous prime is 14342010123113. The next prime is 14342010123131. The reversal of 14342010123120 is 2132101024341.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 296402449 + ... + 296450831.

It is an arithmetic number, because the mean of its divisors is an integer number (278757158400).

Almost surely, 214342010123120 is an apocalyptic number.

14342010123120 is a gapful number since it is divisible by the number (10) 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 14342010123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22300572672000).

14342010123120 is an abundant number, since it is smaller than the sum of its proper divisors (30259135220880).

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

14342010123120 is a wasteful number, since it uses less digits than its factorization.

14342010123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52287 (or 52281 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14342010123120 its reverse (2132101024341), we get a palindrome (16474111147461).

The spelling of 14342010123120 in words is "fourteen trillion, three hundred forty-two billion, ten million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 349 698 1047 1396 1745 2094 2792 3490 3539 4188 5235 5584 6980 7078 8376 10470 10617 13960 14156 16752 17695 20940 21234 27920 28312 35390 41880 42468 48383 53085 56624 70780 83760 84936 96766 106170 141560 145149 169872 193532 212340 241915 283120 290298 387064 424680 483830 580596 725745 774128 849360 967660 1161192 1235111 1451490 1935320 2322384 2470222 2902980 3705333 3870640 4940444 5805960 6175555 7410666 9880888 11611920 12351110 14821332 16885667 18526665 19761776 24702220 29642664 33771334 37053330 49404440 50657001 59285328 67542668 74106660 84428335 98808880 101314002 135085336 148213320 168856670 171227437 202628004 253285005 270170672 296426640 337713340 342454874 405256008 506570010 513682311 675426680 684909748 810512016 856137185 1013140020 1027364622 1350853360 1369819496 1712274370 2026280040 2054729244 2568411555 2739638992 3424548740 4052560080 4109458488 5136823110 6849097480 8218916976 10273646220 13698194960 20547292440 41094584880 59758375513 119516751026 179275126539 239033502052 298791877565 358550253078 478067004104 597583755130 717100506156 896375632695 956134008208 1195167510260 1434201012312 1792751265390 2390335020520 2868402024624 3585502530780 4780670041040 7171005061560 14342010123120