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120441442000 = 2453115474611
BaseRepresentation
bin111000000101011011…
…1101000111011010000
3102111212202211012002011
41300022313220323100
53433131002121000
6131155142032304
711462436236215
oct1601267507320
9374782735064
10120441442000
1147096066020
121b413718694
13b4857a8959
145b87c17b0c
1531edb032ba
hex1c0ade8ed0

120441442000 has 80 divisors (see below), whose sum is σ = 317702683584. Its totient is φ = 43796880000.

The previous prime is 120441441979. The next prime is 120441442003. The reversal of 120441442000 is 244144021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1204414420002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120441442003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715306 + ... + 2759305.

Almost surely, 2120441442000 is an apocalyptic number.

120441442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120441442000 is an abundant number, since it is smaller than the sum of its proper divisors (197261241584).

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

120441442000 is a wasteful number, since it uses less digits than its factorization.

120441442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474645 (or 5474629 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 120441442000 its reverse (244144021), we get a palindrome (120685586021).

The spelling of 120441442000 in words is "one hundred twenty billion, four hundred forty-one million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 5474611 10949222 21898444 27373055 43796888 54746110 60220721 87593776 109492220 120441442 136865275 218984440 240882884 273730550 301103605 437968880 481765768 547461100 602207210 684326375 963531536 1094922200 1204414420 1368652750 1505518025 2189844400 2408828840 2737305500 3011036050 4817657680 5474611000 6022072100 7527590125 10949222000 12044144200 15055180250 24088288400 30110360500 60220721000 120441442000