Search a number
-
+
1345000425132 = 2237213880719979
BaseRepresentation
bin10011100100101000010…
…001011100011010101100
311202120200101120220110110
4103210220101130122230
5134014030102101012
62505515030540020
7166113235660200
oct23445021343254
94676611526413
101345000425132
11479458748691
12198805b07610
1399aaa126c30
1449153cc8b00
1524ebe8e973c
hex1392845c6ac

1345000425132 has 144 divisors (see below), whose sum is σ = 3932182920960. Its totient is φ = 354667356288.

The previous prime is 1345000425127. The next prime is 1345000425133. The reversal of 1345000425132 is 2315240005431.

It is a super-2 number, since 2×13450004251322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1345000425132.

It is not an unprimeable number, because it can be changed into a prime (1345000425133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67310719 + ... + 67330697.

It is an arithmetic number, because the mean of its divisors is an integer number (27306825840).

Almost surely, 21345000425132 is an apocalyptic number.

1345000425132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345000425132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966091460480).

1345000425132 is an abundant number, since it is smaller than the sum of its proper divisors (2587182495828).

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

1345000425132 is a wasteful number, since it uses less digits than its factorization.

1345000425132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28820 (or 28811 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1345000425132 in words is "one trillion, three hundred forty-five billion, four hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 8807 17614 19979 26421 35228 39958 52842 59937 61649 79916 105684 114491 119874 123298 139853 184947 228982 239748 246596 259727 279706 343473 369894 419559 431543 457964 519454 559412 686946 739788 779181 801437 839118 863086 978971 1038908 1294629 1373892 1558362 1602874 1678236 1726172 1818089 1957942 2404311 2589258 2936913 3116724 3205748 3636178 3915884 4808622 5178516 5454267 5610059 5873826 7272356 9617244 10908534 11220118 11747652 12726623 16830177 21817068 22440236 25453246 33660354 38179869 50906492 67320708 76359738 152719476 175955053 351910106 527865159 703820212 1055730318 1231685371 2111460636 2287415689 2463370742 3695056113 4574831378 4926741484 6862247067 7390112226 8621797597 9149662756 13724494134 14780224452 16011909823 17243595194 25865392791 27448988268 32023819646 34487190388 48035729469 51730785582 64047639292 96071458938 103461571164 112083368761 192142917876 224166737522 336250106283 448333475044 672500212566 1345000425132