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44400003431 = 727198312983
BaseRepresentation
bin101001010110011100…
…100100100101100111
311020121022102212111112
4221112130210211213
51211412400102211
632221434055235
73131162542100
oct512634444547
9136538385445
1044400003431
111791470a813
12873157a51b
134257816ca4
142212ac73a7
15124ce2188b
hexa56724967

44400003431 has 24 divisors (see below), whose sum is σ = 52433754624. Its totient is φ = 37480072560.

The previous prime is 44400003409. The next prime is 44400003443. The reversal of 44400003431 is 13430000444.

44400003431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-44400003431 is a prime.

It is a super-2 number, since 2×444000034312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44400003397 and 44400003406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44400003451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3413366 + ... + 3426348.

It is an arithmetic number, because the mean of its divisors is an integer number (2184739776).

Almost surely, 244400003431 is an apocalyptic number.

44400003431 is a deficient number, since it is larger than the sum of its proper divisors (8033751193).

44400003431 is a wasteful number, since it uses less digits than its factorization.

44400003431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14051 (or 14044 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 44400003431 its reverse (13430000444), we get a palindrome (57830003875).

The spelling of 44400003431 in words is "forty-four billion, four hundred million, three thousand, four hundred thirty-one".

Divisors: 1 7 49 71 497 983 3479 6881 12983 48167 69793 90881 488551 636167 921793 3419857 6452551 12762289 45167857 89336023 625352161 906122519 6342857633 44400003431