Search a number
-
+
1363341430440 = 2332511344278139
BaseRepresentation
bin10011110101101101011…
…110110100111010101000
311211100000121102111211100
4103311231132310322220
5134314110401233230
62522151014201400
7200332604644653
oct23655536647250
94740017374740
101363341430440
1148620a771410
121a0284353260
139b740bb15b2
1449db3b2089a
15256e4bb1660
hex13d6d7b4ea8

1363341430440 has 96 divisors (see below), whose sum is σ = 4833665085600. Its totient is φ = 330507012480.

The previous prime is 1363341430403. The next prime is 1363341430459. The reversal of 1363341430440 is 440341433631.

1363341430440 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 341 + 4 + 304 + 4 + 0 = 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 = 1363341430395 and 1363341430404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172135110 + ... + 172143029.

It is an arithmetic number, because the mean of its divisors is an integer number (50350677975).

Almost surely, 21363341430440 is an apocalyptic number.

1363341430440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1363341430440 is an abundant number, since it is smaller than the sum of its proper divisors (3470323655160).

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

1363341430440 is a wasteful number, since it uses less digits than its factorization.

1363341430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344278167 (or 344278160 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 1363341430440 in words is "one trillion, three hundred sixty-three billion, three hundred forty-one million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 344278139 688556278 1032834417 1377112556 1721390695 2065668834 2754225112 3098503251 3442781390 3787059529 4131337668 5164172085 6197006502 6885562780 7574119058 8262675336 10328344170 11361178587 12394013004 13771125560 15148238116 15492516255 18935297645 20656688340 22722357174 24788026008 30296476232 30985032510 34083535761 37870595290 41313376680 45444714348 56805892935 61970065020 68167071522 75741190580 90889428696 113611785870 123940130040 136334143044 151482381160 170417678805 227223571740 272668286088 340835357610 454447143480 681670715220 1363341430440