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1032132230440 = 23541629348921
BaseRepresentation
bin11110000010011111101…
…11111111110100101000
310122200010001212212010221
433001033313333310220
5113402301322333230
62110053251415424
7134366125130113
oct17011767776450
93580101785127
101032132230440
113687a7811243
1214804abb4574
1376439324a4c
1437d53b2b57a
151bcac67227a
hexf04fdffd28

1032132230440 has 32 divisors (see below), whose sum is σ = 2378938925160. Its totient is φ = 402783308800.

The previous prime is 1032132230413. The next prime is 1032132230471. The reversal of 1032132230440 is 440322312301.

It can be written as a sum of positive squares in 4 ways, for example, as 574688318724 + 457443911716 = 758082^2 + 676346^2 .

It is a super-2 number, since 2×10321322304402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314672821 + ... + 314676100.

Almost surely, 21032132230440 is an apocalyptic number.

1032132230440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032132230440 is an abundant number, since it is smaller than the sum of its proper divisors (1346806694720).

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

1032132230440 is a wasteful number, since it uses less digits than its factorization.

1032132230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629348973 (or 629348969 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1032132230440 its reverse (440322312301), we get a palindrome (1472454542741).

The spelling of 1032132230440 in words is "one trillion, thirty-two billion, one hundred thirty-two million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 629348921 1258697842 2517395684 3146744605 5034791368 6293489210 12586978420 25173956840 25803305761 51606611522 103213223044 129016528805 206426446088 258033057610 516066115220 1032132230440