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4342145444440 = 23519113142335531
BaseRepresentation
bin111111001011111100000…
…010010110101001011000
3120101002211120201010122221
4333023330002112221120
51032120203213210230
613122430514153424
7625465261205356
oct77137402265130
916332746633587
104342145444440
1114245479a4091
125a1653882874
1325660231943b
141102379687d6
1577e3869327a
hex3f2fc096a58

4342145444440 has 128 divisors (see below), whose sum is σ = 10382620953600. Its totient is φ = 1629691176960.

The previous prime is 4342145444423. The next prime is 4342145444473. The reversal of 4342145444440 is 444445412434.

It is a happy number.

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, 122189475 + ... + 122225005.

It is an arithmetic number, because the mean of its divisors is an integer number (81114226200).

Almost surely, 24342145444440 is an apocalyptic number.

4342145444440 is a gapful number since it is divisible by the number (40) 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 4342145444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191310476800).

4342145444440 is an abundant number, since it is smaller than the sum of its proper divisors (6040475509160).

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

4342145444440 is a wasteful number, since it uses less digits than its factorization.

4342145444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37097 (or 37093 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 43.

The spelling of 4342145444440 in words is "four trillion, three hundred forty-two billion, one hundred forty-five million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 113 152 190 226 380 452 565 760 904 1130 1423 2147 2260 2846 4294 4520 5692 7115 8588 10735 11384 14230 17176 21470 27037 28460 35531 42940 54074 56920 71062 85880 108148 135185 142124 160799 177655 216296 270370 284248 321598 355310 540740 643196 675089 710620 803995 1081480 1286392 1350178 1421240 1607990 2700356 3055181 3215980 3375445 4015003 5400712 6110362 6431960 6750890 8030006 12220724 13501780 15275905 16060012 20075015 24441448 27003560 30551810 32120024 40150030 50560613 61103620 76285057 80300060 101121226 122207240 152570114 160600120 202242452 252803065 305140228 381425285 404484904 505606130 610280456 762850570 960651647 1011212260 1525701140 1921303294 2022424520 3051402280 3842606588 4803258235 5713349269 7685213176 9606516470 11426698538 19213032940 22853397076 28566746345 38426065880 45706794152 57133492690 108553636111 114266985380 217107272222 228533970760 434214544444 542768180555 868429088888 1085536361110 2171072722220 4342145444440