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400000020024 = 233113740950043
BaseRepresentation
bin1011101001000011101…
…10111110111000111000
31102020110200121101110110
411310201312332320320
523023200001120044
6503431340344320
740620242033253
oct5644166767070
91366420541413
10400000020024
11144703646450
12656332450a0
132b9486474a7
14155081aa09a
15a6118ee6b9
hex5d21dbee38

400000020024 has 64 divisors (see below), whose sum is σ = 1120393203840. Its totient is φ = 117936120960.

The previous prime is 400000020023. The next prime is 400000020073. The reversal of 400000020024 is 420020000004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 400000019991 and 400000020009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400000020023) 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, 20465254 + ... + 20484789.

It is an arithmetic number, because the mean of its divisors is an integer number (17506143810).

Almost surely, 2400000020024 is an apocalyptic number.

400000020024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400000020024 is an abundant number, since it is smaller than the sum of its proper divisors (720393183816).

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

400000020024 is a wasteful number, since it uses less digits than its factorization.

400000020024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40950100 (or 40950096 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 400000020024 its reverse (420020000004), we get a palindrome (820020020028).

The spelling of 400000020024 in words is "four hundred billion, twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 40950043 81900086 122850129 163800172 245700258 327600344 450450473 491400516 900900946 982801032 1351351419 1515151591 1801801892 2702702838 3030303182 3603603784 4545454773 5405405676 6060606364 9090909546 10810811352 12121212728 16666667501 18181819092 33333335002 36363638184 50000002503 66666670004 100000005006 133333340008 200000010012 400000020024