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44123142200040 = 23325731678962793
BaseRepresentation
bin10100000100001001110000…
…01101111001101011101000
312210020010112122101121212100
422002010320031321223220
521240403143400400130
6233501520335013400
712202535411350251
oct1202047015715350
9183203478347770
1044123142200040
11130715795361a2
124b4743b06a260
131b80a4355c607
14ac78001c1b28
15517b2695ec60
hex282138379ae8

44123142200040 has 96 divisors (see below), whose sum is σ = 145364598704520. Its totient is φ = 11604990818304.

The previous prime is 44123142199991. The next prime is 44123142200069. The reversal of 44123142200040 is 4000224132144.

44123142200040 is a `hidden beast` number, since 4 + 4 + 1 + 231 + 422 + 0 + 0 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42968260980324 + 1154881219716 = 6555018^2 + 1074654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44123142199977 and 44123142200013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839455117 + ... + 839507676.

Almost surely, 244123142200040 is an apocalyptic number.

44123142200040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44123142200040 is an abundant number, since it is smaller than the sum of its proper divisors (101241456504480).

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

44123142200040 is a wasteful number, since it uses less digits than its factorization.

44123142200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678962883 (or 1678962876 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44123142200040 its reverse (4000224132144), we get a palindrome (48123366332184).

The spelling of 44123142200040 in words is "forty-four trillion, one hundred twenty-three billion, one hundred forty-two million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 1678962793 3357925586 5036888379 6715851172 8394813965 10073776758 13431702344 15110665137 16789627930 20147553516 25184441895 30221330274 33579255860 40295107032 50368883790 60442660548 67158511720 75553325685 100737767580 120885321096 122564283889 151106651370 201475535160 245128567778 302213302740 367692851667 490257135556 604426605480 612821419445 735385703334 980514271112 1103078555001 1225642838890 1470771406668 1838464258335 2206157110002 2451285677780 2941542813336 3676928516670 4412314220004 4902571355560 5515392775005 7353857033340 8824628440008 11030785550010 14707714066680 22061571100020 44123142200040