Search a number
-
+
1031278146288 = 243132234754167
BaseRepresentation
bin11110000000111001111…
…01111011001011110000
310122120220112202212221120
433000130331323023300
5113344024201140123
62105432421422240
7134336014415625
oct17003475731360
93576815685846
101031278146288
113683a96a0175
12147a50b6a980
13763313b6800
1437cb252434c
151bc5c6b52e3
hexf01cf7b2f0

1031278146288 has 120 divisors (see below), whose sum is σ = 2886115241088. Its totient is φ = 317175296256.

The previous prime is 1031278146271. The next prime is 1031278146289. The reversal of 1031278146288 is 8826418721301.

It is a happy number.

It is a super-2 number, since 2×10312781462882 (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 1031278146288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031278146289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19011781 + ... + 19065947.

Almost surely, 21031278146288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031278146288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443057620544).

1031278146288 is an abundant number, since it is smaller than the sum of its proper divisors (1854837094800).

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

1031278146288 is a wasteful number, since it uses less digits than its factorization.

1031278146288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56551 (or 56532 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 1031278146288 in words is "one trillion, thirty-one billion, two hundred seventy-eight million, one hundred forty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2347 2704 4056 4694 7041 8112 9388 14082 18776 28164 30511 37552 54167 56328 61022 91533 108334 112656 122044 162501 183066 216668 244088 325002 366132 396643 433336 488176 650004 704171 732264 793286 866672 1189929 1300008 1408342 1464528 1586572 2112513 2379858 2600016 2816684 3173144 4225026 4759716 5633368 6346288 8450052 9154223 9519432 11266736 16900104 18308446 19038864 27462669 33800208 36616892 54925338 73233784 109850676 127129949 146467568 219701352 254259898 381389847 439402704 508519796 762779694 1017039592 1525559388 1652689337 2034079184 3051118776 3305378674 4958068011 6102237552 6610757348 9916136022 13221514696 19832272044 21484961381 26443029392 39664544088 42969922762 64454884143 79329088176 85939845524 128909768286 171879691048 257819536572 343759382096 515639073144 1031278146288