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20412423223440 = 2435711197912161
BaseRepresentation
bin1001010010000101000110…
…01111000011100010010000
32200021102000212112000102020
410221002203033003202100
510133414120321122230
6111225200543051440
74204514606414133
oct451024317034220
980242025460366
1020412423223440
11655a950839046
1223580932a0b80
13b50b63669861
14507d7632a21a
15255e9224e810
hex1290a33c3890

20412423223440 has 80 divisors (see below), whose sum is σ = 64169758694016. Its totient is φ = 5366646476800.

The previous prime is 20412423223421. The next prime is 20412423223457. The reversal of 20412423223440 is 4432232421402.

It is a happy number.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 598939041 + ... + 598973120.

Almost surely, 220412423223440 is an apocalyptic number.

20412423223440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20412423223440 is an abundant number, since it is smaller than the sum of its proper divisors (43757335470576).

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

20412423223440 is a wasteful number, since it uses less digits than its factorization.

20412423223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197912248 (or 1197912242 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 20412423223440 its reverse (4432232421402), we get a palindrome (24844655644842).

The spelling of 20412423223440 in words is "twenty trillion, four hundred twelve billion, four hundred twenty-three million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 1197912161 2395824322 3593736483 4791648644 5989560805 7187472966 9583297288 11979121610 14374945932 17968682415 19166594576 23958243220 28749891864 35937364830 47916486440 57499783728 71874729660 85051763431 95832972880 143749459320 170103526862 255155290293 287498918640 340207053724 425258817155 510310580586 680414107448 850517634310 1020621161172 1275776451465 1360828214896 1701035268620 2041242322344 2551552902930 3402070537240 4082484644688 5103105805860 6804141074480 10206211611720 20412423223440