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40304420000 = 255413155017
BaseRepresentation
bin100101100010010101…
…001010010010100000
310212000212212200020022
4211202111022102200
51130020412420000
630303211333012
72624531626445
oct454225122240
9125025780208
1040304420000
1116102881319
127989a51168
133a5416a140
141d44bb19cc
1510ad5ba585
hex96254a4a0

40304420000 has 120 divisors (see below), whose sum is σ = 106782909156. Its totient is φ = 14881536000.

The previous prime is 40304419973. The next prime is 40304420003. The reversal of 40304420000 is 2440304.

It can be written as a sum of positive squares in 10 ways, for example, as 18919452304 + 21384967696 = 137548^2 + 146236^2 .

It is not an unprimeable number, because it can be changed into a prime (40304420003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 182492 + ... + 337508.

Almost surely, 240304420000 is an apocalyptic number.

40304420000 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 40304420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53391454578).

40304420000 is an abundant number, since it is smaller than the sum of its proper divisors (66478489156).

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

40304420000 is a wasteful number, since it uses less digits than its factorization.

40304420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155060 (or 155037 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 40304420000 its reverse (2440304), we get a palindrome (40306860304).

The spelling of 40304420000 in words is "forty billion, three hundred four million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 130000 155017 260000 310034 620068 775085 1240136 1550170 2015221 2480272 3100340 3875425 4030442 4960544 6200680 7750850 8060884 10076105 12401360 15501700 16121768 19377125 20152210 24802720 31003400 32243536 38754250 40304420 50380525 62006800 64487072 77508500 80608840 96885625 100761050 124013600 155017000 161217680 193771250 201522100 251902625 310034000 322435360 387542500 403044200 503805250 620068000 775085000 806088400 1007610500 1259513125 1550170000 1612176800 2015221000 2519026250 3100340000 4030442000 5038052500 8060884000 10076105000 20152210000 40304420000