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4009150054000 = 245371322028297
BaseRepresentation
bin111010010101110011111…
…101101111111001110000
3112012021022120010121100001
4322111303331233321300
51011141214403212000
612305440023235344
7562436322120310
oct72256375577160
915167276117301
104009150054000
1113062a8761673
125490002a8b54
132310a4696380
14dc088655440
156e44942746a
hex3a573f6fe70

4009150054000 has 160 divisors (see below), whose sum is σ = 11931231102336. Its totient is φ = 1268829849600.

The previous prime is 4009150053983. The next prime is 4009150054003. The reversal of 4009150054000 is 4500519004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4009150054000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009150054003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10832149 + ... + 11196148.

Almost surely, 24009150054000 is an apocalyptic number.

4009150054000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4009150054000 is an abundant number, since it is smaller than the sum of its proper divisors (7922081048336).

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

4009150054000 is a wasteful number, since it uses less digits than its factorization.

4009150054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22028340 (or 22028324 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 4009150054000 in words is "four trillion, nine billion, one hundred fifty million, fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 7000 7280 9100 11375 13000 14000 18200 22750 26000 36400 45500 91000 182000 22028297 44056594 88113188 110141485 154198079 176226376 220282970 286367861 308396158 352452752 440565940 550707425 572735722 616792316 770990395 881131880 1101414850 1145471444 1233584632 1431839305 1541980790 1762263760 2004575027 2202829700 2290942888 2467169264 2753537125 2863678610 3083961580 3854951975 4009150054 4405659400 4581885776 5507074250 5727357220 6167923160 7159196525 7709903950 8018300108 8811318800 10022875135 11014148500 11454714440 12335846320 14318393050 15419807900 16036600216 19274759875 20045750270 22028297000 22909428880 28636786100 30839615800 32073200432 35795982625 38549519750 40091500540 44056594000 50114375675 57273572200 61679231600 71591965250 77099039500 80183001080 100228751350 114547144400 143183930500 154198079000 160366002160 200457502700 250571878375 286367861000 308396158000 400915005400 501143756750 572735722000 801830010800 1002287513500 2004575027000 4009150054000