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424120000032 = 25321786625817
BaseRepresentation
bin1100010101111111000…
…01011001111000100000
31111112201122121022210100
412022333201121320200
523422044210000112
6522501003302400
742433042342551
oct6127741317040
91445648538710
10424120000032
11153960757423
126a244b1aa00
1330cc0761601
1416755718328
15b0741e02dc
hex62bf859e20

424120000032 has 72 divisors (see below), whose sum is σ = 1277037808956. Its totient is φ = 133057253376.

The previous prime is 424120000027. The next prime is 424120000037. The reversal of 424120000032 is 230000021424.

It is an interprime number because it is at equal distance from previous prime (424120000027) and next prime (424120000037).

It can be written as a sum of positive squares in 2 ways, for example, as 424004136336 + 115863696 = 651156^2 + 10764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (424120000037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43308013 + ... + 43317804.

Almost surely, 2424120000032 is an apocalyptic number.

It is an amenable number.

424120000032 is an abundant number, since it is smaller than the sum of its proper divisors (852917808924).

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

424120000032 is a wasteful number, since it uses less digits than its factorization.

424120000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86625850 (or 86625839 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 424120000032 its reverse (230000021424), we get a palindrome (654120021456).

The spelling of 424120000032 in words is "four hundred twenty-four billion, one hundred twenty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 86625817 173251634 259877451 346503268 519754902 693006536 779632353 1039509804 1386013072 1472638889 1559264706 2079019608 2772026144 2945277778 3118529412 4158039216 4417916667 5890555556 6237058824 8316078432 8835833334 11781111112 12474117648 13253750001 17671666668 23562222224 24948235296 26507500002 35343333336 47124444448 53015000004 70686666672 106030000008 141373333344 212060000016 424120000032