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1283603126440 = 235353607314969
BaseRepresentation
bin10010101011011100101…
…101010101100010101000
311112201012111201222020211
4102223130231111202220
5132012304400021230
62421402405430504
7161510611360315
oct22533455254250
94481174658224
101283603126440
11455411557418
1218893010b434
13940740559ab
14461aba27d0c
15235c968742a
hex12adcb558a8

1283603126440 has 64 divisors (see below), whose sum is σ = 2896959070800. Its totient is φ = 511868239872.

The previous prime is 1283603126413. The next prime is 1283603126441. The reversal of 1283603126440 is 446213063821.

It can be written as a sum of positive squares in 8 ways, for example, as 328092966436 + 955510160004 = 572794^2 + 977502^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1283603126393 and 1283603126402.

It is not an unprimeable number, because it can be changed into a prime (1283603126441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85743276 + ... + 85758244.

Almost surely, 21283603126440 is an apocalyptic number.

1283603126440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1283603126440 is an abundant number, since it is smaller than the sum of its proper divisors (1613355944360).

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

1283603126440 is a wasteful number, since it uses less digits than its factorization.

1283603126440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21406 (or 21402 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 1283603126440 in words is "one trillion, two hundred eighty-three billion, six hundred three million, one hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 353 706 1412 1765 2824 3530 6073 7060 12146 14120 14969 24292 29938 30365 48584 59876 60730 74845 119752 121460 149690 242920 299380 598760 2143769 4287538 5284057 8575076 10568114 10718845 17150152 21136228 21437690 26420285 42272456 42875380 52840570 85750760 90906737 105681140 181813474 211362280 363626948 454533685 727253896 909067370 1818134740 3636269480 32090078161 64180156322 128360312644 160450390805 256720625288 320900781610 641801563220 1283603126440