Search a number
-
+
1204355225340 = 22325171912060629
BaseRepresentation
bin10001100001101001001…
…010100101011011111100
311021010122120211110222200
4101201221022211123330
5124213004414202330
62321135000111500
7153004021336011
oct21415112453374
94233576743880
101204355225340
11424845144383
121754b4165590
13897549a1b17
1442410b09708
15214dc22ca60
hex118692a56fc

1204355225340 has 144 divisors (see below), whose sum is σ = 3888359354880. Its totient is φ = 300686837760.

The previous prime is 1204355225303. The next prime is 1204355225383. The reversal of 1204355225340 is 435225534021.

1204355225340 is a `hidden beast` number, since 1 + 2 + 0 + 43 + 5 + 522 + 53 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1204355225295 and 1204355225304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445855 + ... + 1614774.

It is an arithmetic number, because the mean of its divisors is an integer number (27002495520).

Almost surely, 21204355225340 is an apocalyptic number.

1204355225340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1204355225340 is an abundant number, since it is smaller than the sum of its proper divisors (2684004129540).

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

1204355225340 is a wasteful number, since it uses less digits than its factorization.

1204355225340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060852 (or 2060847 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 1204355225340 in words is "one trillion, two hundred four billion, three hundred fifty-five million, two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 191 204 255 306 340 382 510 573 612 764 765 955 1020 1146 1530 1719 1910 2292 2865 3060 3247 3438 3820 5730 6494 6876 8595 9741 11460 12988 16235 17190 19482 29223 32470 34380 38964 48705 58446 64940 97410 116892 146115 194820 292230 584460 2060629 4121258 6181887 8242516 10303145 12363774 18545661 20606290 24727548 30909435 35030693 37091322 41212580 61818870 70061386 74182644 92728305 105092079 123637740 140122772 175153465 185456610 210184158 315276237 350306930 370913220 393580139 420368316 525460395 630552474 700613860 787160278 1050920790 1180740417 1261104948 1574320556 1576381185 1967900695 2101841580 2361480834 3152762370 3542221251 3935801390 4722961668 5903702085 6305524740 6690862363 7084442502 7871602780 11807404170 13381724726 14168885004 17711106255 20072587089 23614808340 26763449452 33454311815 35422212510 40145174178 60217761267 66908623630 70844425020 80290348356 100362935445 120435522534 133817247260 200725870890 240871045068 301088806335 401451741780 602177612670 1204355225340