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201423440000 = 27546737579
BaseRepresentation
bin1011101110010111000…
…1011100100010000000
3201020220112201221002102
42323211301130202000
511300003400040000
6232311015205532
720360313663566
oct2734561344200
9636815657072
10201423440000
117847230a7a2
12330543768a8
1315cc01b6a73
149a6b175a36
15538d3e93d5
hex2ee5c5c880

201423440000 has 160 divisors (see below), whose sum is σ = 508928653200. Its totient is φ = 79364736000.

The previous prime is 201423439981. The next prime is 201423440003. The reversal of 201423440000 is 44324102.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (201423440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5341211 + ... + 5378789.

Almost surely, 2201423440000 is an apocalyptic number.

201423440000 is a gapful number since it is divisible by the number (20) 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 201423440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254464326600).

201423440000 is an abundant number, since it is smaller than the sum of its proper divisors (307505213200).

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

201423440000 is an frugal number, since it uses more digits than its factorization.

201423440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37680 (or 37653 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 201423440000 its reverse (44324102), we get a palindrome (201467764102).

The spelling of 201423440000 in words is "two hundred one billion, four hundred twenty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 128 134 160 200 250 268 320 335 400 500 536 625 640 670 800 1000 1072 1250 1340 1600 1675 2000 2144 2500 2680 3200 3350 4000 4288 5000 5360 6700 8000 8375 8576 10000 10720 13400 16000 16750 20000 21440 26800 33500 37579 40000 41875 42880 53600 67000 75158 80000 83750 107200 134000 150316 167500 187895 214400 268000 300632 335000 375790 536000 601264 670000 751580 939475 1072000 1202528 1340000 1503160 1878950 2405056 2517793 2680000 3006320 3757900 4697375 4810112 5035586 5360000 6012640 7515800 9394750 10071172 12025280 12588965 15031600 18789500 20142344 23486875 24050560 25177930 30063200 37579000 40284688 46973750 50355860 60126400 62944825 75158000 80569376 93947500 100711720 120252800 125889650 150316000 161138752 187895000 201423440 251779300 300632000 314724125 322277504 375790000 402846880 503558600 601264000 629448250 751580000 805693760 1007117200 1258896500 1503160000 1573620625 1611387520 2014234400 2517793000 3006320000 3147241250 4028468800 5035586000 6294482500 8056937600 10071172000 12588965000 20142344000 25177930000 40284688000 50355860000 100711720000 201423440000