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1010440334440 = 235473131717151
BaseRepresentation
bin11101011010000101110…
…11111110110001101000
310120121010022202100220101
432231002323332301220
5113023340211200230
62052105003035144
7133000440062605
oct16550273766150
93517108670811
101010440334440
1135a586254769
121439b650bab4
137439027a424
1436c96c6d6ac
151b43d103aca
hexeb42efec68

1010440334440 has 64 divisors (see below), whose sum is σ = 2329282344960. Its totient is φ = 394312588800.

The previous prime is 1010440334413. The next prime is 1010440334471. The reversal of 1010440334440 is 444330440101.

It is a happy number.

It is a super-2 number, since 2×10104403344402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010440334399 and 1010440334408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270136 + ... + 1447015.

It is an arithmetic number, because the mean of its divisors is an integer number (36395036640).

Almost surely, 21010440334440 is an apocalyptic number.

1010440334440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010440334440 is an abundant number, since it is smaller than the sum of its proper divisors (1318842010520).

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

1010440334440 is a wasteful number, since it uses less digits than its factorization.

1010440334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717522 (or 1717518 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1010440334440 its reverse (444330440101), we get a palindrome (1454770774541).

The spelling of 1010440334440 in words is "one trillion, ten billion, four hundred forty million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 313 376 470 626 940 1252 1565 1880 2504 3130 6260 12520 14711 29422 58844 73555 117688 147110 294220 588440 1717151 3434302 6868604 8585755 13737208 17171510 34343020 68686040 80706097 161412194 322824388 403530485 537468263 645648776 807060970 1074936526 1614121940 2149873052 2687341315 3228243880 4299746104 5374682630 10749365260 21498730520 25261008361 50522016722 101044033444 126305041805 202088066888 252610083610 505220167220 1010440334440