Search a number
-
+
254421113043200 = 2852159732488781
BaseRepresentation
bin111001110110010100001000…
…000100001111100100000000
31020100211102100210222010010012
4321312110020010033210000
5231321413414414340300
62301035240142524052
7104406214233615635
oct7166241004174400
91210742323863105
10254421113043200
117408042a628234
1224650623b96628
13abc6a6728cc8c
1446b809478c18c
151e63124dce435
hexe7650810f900

254421113043200 has 108 divisors (see below), whose sum is σ = 629771685904788. Its totient is φ = 101762033049600.

The previous prime is 254421113043197. The next prime is 254421113043221. The reversal of 254421113043200 is 2340311124452.

It can be written as a sum of positive squares in 6 ways, for example, as 11046636027904 + 243374477015296 = 3323648^2 + 15600464^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100982810 + ... + 103471590.

Almost surely, 2254421113043200 is an apocalyptic number.

254421113043200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254421113043200 is an abundant number, since it is smaller than the sum of its proper divisors (375350572861588).

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

254421113043200 is a wasteful number, since it uses less digits than its factorization.

254421113043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504780 (or 2504761 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 254421113043200 its reverse (2340311124452), we get a palindrome (256761424167652).

The spelling of 254421113043200 in words is "two hundred fifty-four trillion, four hundred twenty-one billion, one hundred thirteen million, forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 15973 31946 63892 79865 127784 159730 255568 319460 399325 511136 638920 798650 1022272 1277840 1597300 2044544 2488781 2555680 3194600 4089088 4977562 5111360 6389200 9955124 10222720 12443905 12778400 19910248 20445440 24887810 25556800 39820496 49775620 51113600 62219525 79640992 99551240 102227200 124439050 159281984 199102480 248878100 318563968 398204960 497756200 637127936 796409920 995512400 1592819840 1991024800 3185639680 3982049600 7964099200 15928198400 39753298913 79506597826 159013195652 198766494565 318026391304 397532989130 636052782608 795065978260 993832472825 1272105565216 1590131956520 1987664945650 2544211130432 3180263913040 3975329891300 5088422260864 6360527826080 7950659782600 10176844521728 12721055652160 15901319565200 25442111304320 31802639130400 50884222608640 63605278260800 127210556521600 254421113043200