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4404123132240 = 24351310949128923
BaseRepresentation
bin100000000010110101000…
…1100011110000101010000
3120121000210220122220001110
41000011222030132011100
51034124121010212430
613211120511133320
7633121163645616
oct100055214360520
916530726586043
104404123132240
111448861769277
125b166bb14240
1325c3cb70aca0
14113236d496b6
157986484c7b0
hex4016a31e150

4404123132240 has 160 divisors (see below), whose sum is σ = 14704452604800. Its totient is φ = 1083984427008.

The previous prime is 4404123132239. The next prime is 4404123132271. The reversal of 4404123132240 is 422313214044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4404123132198 and 4404123132207.

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, 34096419 + ... + 34225341.

It is an arithmetic number, because the mean of its divisors is an integer number (91902828780).

Almost surely, 24404123132240 is an apocalyptic number.

4404123132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404123132240 is an abundant number, since it is smaller than the sum of its proper divisors (10300329472560).

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

4404123132240 is a wasteful number, since it uses less digits than its factorization.

4404123132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139901 (or 139895 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4404123132240 its reverse (422313214044), we get a palindrome (4826436346284).

The spelling of 4404123132240 in words is "four trillion, four hundred four billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 10949 21898 32847 43796 54745 65694 87592 109490 128923 131388 142337 164235 175184 218980 257846 262776 284674 328470 386769 427011 437960 515692 525552 569348 644615 656940 711685 773538 854022 875920 1031384 1138696 1289230 1313880 1423370 1547076 1675999 1708044 1933845 2062768 2135055 2277392 2578460 2627760 2846740 3094152 3351998 3416088 3867690 4270110 5027997 5156920 5693480 6188304 6703996 6832176 7735380 8379995 8540220 10055994 10313840 11386960 13407992 15470760 16759990 17080440 20111988 25139985 26815984 30941520 33519980 34160880 40223976 50279970 67039960 80447952 100559940 134079920 201119880 402239760 1411577927 2823155854 4234733781 5646311708 7057889635 8469467562 11292623416 14115779270 16938935124 18350513051 21173668905 22585246832 28231558540 33877870248 36701026102 42347337810 55051539153 56463117080 67755740496 73402052204 84694675620 91752565255 110103078306 112926234160 146804104408 169389351240 183505130510 220206156612 275257695765 293608208816 338778702480 367010261020 440412313224 550515391530 734020522040 880824626448 1101030783060 1468041044080 2202061566120 4404123132240