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40431433133000 = 2353713444301463
BaseRepresentation
bin10010011000101101011010…
…01101011010101111001000
312022011012121002110222120102
421030112231031122233020
520244412033340224000
6221553535521344532
711342034414133640
oct1114265515325710
9168135532428512
1040431433133000
1111978968a5a538
12464ba71198148
13197388b17a690
149dac6b181520
154a1aaae7b3d5
hex24c5ad35abc8

40431433133000 has 128 divisors (see below), whose sum is σ = 116442527685120. Its totient is φ = 12795882105600.

The previous prime is 40431433132991. The next prime is 40431433133027. The reversal of 40431433133000 is 33133413404.

40431433133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222059732 + ... + 222241731.

It is an arithmetic number, because the mean of its divisors is an integer number (909707247540).

Almost surely, 240431433133000 is an apocalyptic number.

40431433133000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431433133000 is an abundant number, since it is smaller than the sum of its proper divisors (76011094552120).

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

40431433133000 is a wasteful number, since it uses less digits than its factorization.

40431433133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444301504 (or 444301490 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 40431433133000 its reverse (33133413404), we get a palindrome (40464566546404).

The spelling of 40431433133000 in words is "forty trillion, four hundred thirty-one billion, four hundred thirty-three million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 444301463 888602926 1777205852 2221507315 3110110241 3554411704 4443014630 5775919019 6220220482 8886029260 11107536575 11551838038 12440440964 15550551205 17772058520 22215073150 23103676076 24880881928 28879595095 31101102410 40431433133 44430146300 46207352152 55537682875 57759190190 62202204820 77752756025 80862866266 88860292600 111075365750 115518380380 124404409640 144397975475 155505512050 161725732532 202157165665 222150731500 231036760760 288795950950 311011024100 323451465064 388763780125 404314331330 444301463000 577591901900 622022048200 721989877375 777527560250 808628662660 1010785828325 1155183803800 1443979754750 1555055120500 1617257325320 2021571656650 2887959509500 3110110241000 4043143313300 5053929141625 5775919019000 8086286626600 10107858283250 20215716566500 40431433133000