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4002354031 = 134159137929
BaseRepresentation
bin1110111010001111…
…0001001101101111
3101022221010122120111
43232203301031233
531144100312111
61501052200451
7201116306434
oct35643611557
911287118514
104002354031
111774251905
12938469127
134ba267030
1429d7a7b8b
1518658ca21
hexee8f136f

4002354031 has 32 divisors (see below), whose sum is σ = 4527835200. Its totient is φ = 3513630720.

The previous prime is 4002354019. The next prime is 4002354049. The reversal of 4002354031 is 1304532004.

It is a cyclic number.

It is not a de Polignac number, because 4002354031 - 219 = 4001829743 is a prime.

It is a super-2 number, since 2×40023540312 = 32037675578923897922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4002353993 and 4002354011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002354001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4307775 + ... + 4308703.

It is an arithmetic number, because the mean of its divisors is an integer number (141494850).

Almost surely, 24002354031 is an apocalyptic number.

4002354031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4002354031 is a deficient number, since it is larger than the sum of its proper divisors (525481169).

4002354031 is a wasteful number, since it uses less digits than its factorization.

4002354031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179.

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4002354031 is about 63264.1607152106. The cubic root of 4002354031 is about 1587.7123901750.

Adding to 4002354031 its reverse (1304532004), we get a palindrome (5306886035).

The spelling of 4002354031 in words is "four billion, two million, three hundred fifty-four thousand, thirty-one".

Divisors: 1 13 41 59 137 533 767 929 1781 2419 5617 8083 12077 31447 38089 54811 73021 105079 127273 331403 495157 712543 1654549 2247251 4308239 5218193 7509107 29214263 67836509 97618391 307873387 4002354031