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1431344024 = 2311192573331
BaseRepresentation
bin101010101010000…
…1001001110011000
310200202022210212122
41111110021032120
510412411002044
6354010400412
750320136435
oct12524111630
93622283778
101431344024
11674a57a50
1233b430108
1319a704436
14d8150b8c
15859d6dee
hex55509398

1431344024 has 64 divisors (see below), whose sum is σ = 3094761600. Its totient is φ = 613785600.

The previous prime is 1431344017. The next prime is 1431344093. The reversal of 1431344024 is 4204431341.

It is a super-3 number, since 3×14313440243 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1431343984 and 1431344002.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 428039 + ... + 431369.

It is an arithmetic number, because the mean of its divisors is an integer number (48355650).

Almost surely, 21431344024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431344024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547380800).

1431344024 is an abundant number, since it is smaller than the sum of its proper divisors (1663417576).

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

1431344024 is a wasteful number, since it uses less digits than its factorization.

1431344024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1431344024 is about 37833.1075118077. The cubic root of 1431344024 is about 1126.9760231851.

Adding to 1431344024 its reverse (4204431341), we get a palindrome (5635775365).

The spelling of 1431344024 in words is "one billion, four hundred thirty-one million, three hundred forty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 257 418 514 836 1028 1672 2056 2827 3331 4883 5654 6662 9766 11308 13324 19532 22616 26648 36641 39064 53713 63289 73282 107426 126578 146564 214852 253156 293128 429704 506312 696179 856067 1392358 1712134 2784716 3424268 5569432 6848536 9416737 16265273 18833474 32530546 37666948 65061092 75333896 130122184 178918003 357836006 715672012 1431344024