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1350440130256 = 247237920033313
BaseRepresentation
bin10011101001101100100…
…000010001011011010000
311210002201111100120001121
4103221230200101123100
5134111200133132011
62512214510412024
7166365110465620
oct23515440213320
94702644316047
101350440130256
1148079a27a658
12199883801014
139a4660b9669
144950c528880
15251dc258e71
hex13a6c8116d0

1350440130256 has 160 divisors (see below), whose sum is σ = 3162300456960. Its totient is φ = 546151237632.

The previous prime is 1350440130209. The next prime is 1350440130283. The reversal of 1350440130256 is 6520310440531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407616856 + ... + 407620168.

It is an arithmetic number, because the mean of its divisors is an integer number (19764377856).

Almost surely, 21350440130256 is an apocalyptic number.

1350440130256 is a gapful number since it is divisible by the number (16) 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 1350440130256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581150228480).

1350440130256 is an abundant number, since it is smaller than the sum of its proper divisors (1811860326704).

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

1350440130256 is a wasteful number, since it uses less digits than its factorization.

1350440130256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 1350440130256 its reverse (6520310440531), we get a palindrome (7870750570787).

The spelling of 1350440130256 in words is "one trillion, three hundred fifty billion, four hundred forty million, one hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 79 92 112 158 161 184 316 322 368 553 632 644 1106 1264 1288 1817 2003 2212 2576 3313 3634 4006 4424 6626 7268 8012 8848 12719 13252 14021 14536 16024 23191 25438 26504 28042 29072 32048 46069 46382 50876 53008 56084 76199 92138 92764 101752 112168 152398 158237 184276 185528 203504 224336 261727 304796 316474 322483 368552 371056 523454 533393 609592 632948 644966 737104 1046908 1066786 1107659 1219184 1265896 1289932 1832089 2093816 2133572 2215318 2531792 2579864 3639451 3664178 4187632 4267144 4430636 5159728 6019721 6635939 7278902 7328356 8534288 8861272 12039442 13271878 14557804 14656712 17722544 24078884 25476157 26543756 29115608 29313424 42138047 46451573 48157768 50952314 53087512 58231216 84276094 92903146 96315536 101904628 106175024 152626597 168552188 185806292 203809256 305253194 337104376 371612584 407618512 524239181 610506388 674208752 743225168 1048478362 1068386179 1221012776 2096956724 2136772358 2442025552 3669674267 4193913448 4273544716 7339348534 8387826896 8547089432 12057501163 14678697068 17094178864 24115002326 29357394136 48230004652 58714788272 84402508141 96460009304 168805016282 192920018608 337610032564 675220065128 1350440130256