Search a number
-
+
1304254035552 = 253132936037081
BaseRepresentation
bin10010111110101011100…
…110010011011001100000
311121200111201001211221110
4102332223212103121200
5132332103013114202
62435055510223320
7163141426245366
oct22765346233140
94550451054843
101304254035552
11463149446056
12190934054b40
1395cb5542340
14471aa549636
1523dd762a26c
hex12fab993660

1304254035552 has 96 divisors (see below), whose sum is σ = 3814164758880. Its totient is φ = 387470684160.

The previous prime is 1304254035529. The next prime is 1304254035559. The reversal of 1304254035552 is 2555304524031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1304254035552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304254035559) 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, 17982349 + ... + 18054732.

It is an arithmetic number, because the mean of its divisors is an integer number (39730882905).

Almost surely, 21304254035552 is an apocalyptic number.

1304254035552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1304254035552 is an abundant number, since it is smaller than the sum of its proper divisors (2509910723328).

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

1304254035552 is a wasteful number, since it uses less digits than its factorization.

1304254035552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36037136 (or 36037128 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

Adding to 1304254035552 its reverse (2555304524031), we get a palindrome (3859558559583).

The spelling of 1304254035552 in words is "one trillion, three hundred four billion, two hundred fifty-four million, thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1131 1248 1392 1508 2262 2784 3016 4524 6032 9048 12064 18096 36192 36037081 72074162 108111243 144148324 216222486 288296648 432444972 468482053 576593296 864889944 936964106 1045075349 1153186592 1405446159 1729779888 1873928212 2090150698 2810892318 3135226047 3459559776 3747856424 4180301396 5621784636 6270452094 7495712848 8360602792 11243569272 12540904188 13585979537 14991425696 16721205584 22487138544 25081808376 27171959074 33442411168 40757938611 44974277088 50163616752 54343918148 81515877222 100327233504 108687836296 163031754444 217375672592 326063508888 434751345184 652127017776 1304254035552