Search a number
-
+
1245311032240 = 245114396734033
BaseRepresentation
bin10010000111110010010…
…100100101101110110000
311102001100212102001001201
4102013302110211232300
5130400344111012430
62352031001140544
7155653653056602
oct22076224455660
94361325361051
101245311032240
11440151681280
1218142418a754
1390580a8a2a2
14443b81dd172
15225d7ab68ca
hex121f2525bb0

1245311032240 has 160 divisors (see below), whose sum is σ = 3235453917696. Its totient is φ = 441838817280.

The previous prime is 1245311032237. The next prime is 1245311032247. The reversal of 1245311032240 is 422301135421.

It is a junction number, because it is equal to n+sod(n) for n = 1245311032199 and 1245311032208.

It is not an unprimeable number, because it can be changed into a prime (1245311032247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36574264 + ... + 36608296.

Almost surely, 21245311032240 is an apocalyptic number.

1245311032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1245311032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617726958848).

1245311032240 is an abundant number, since it is smaller than the sum of its proper divisors (1990142885456).

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

1245311032240 is a wasteful number, since it uses less digits than its factorization.

1245311032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35067 (or 35061 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 1245311032240 its reverse (422301135421), we get a palindrome (1667612167661).

The spelling of 1245311032240 in words is "one trillion, two hundred forty-five billion, three hundred eleven million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 967 1720 1892 1934 2365 3440 3784 3868 4730 4835 7568 7736 9460 9670 10637 15472 18920 19340 21274 34033 37840 38680 41581 42548 53185 68066 77360 83162 85096 106370 136132 166324 170165 170192 207905 212740 272264 332648 340330 374363 415810 425480 457391 544528 665296 680660 748726 831620 850960 914782 1361320 1463419 1497452 1663240 1829564 1871815 2286955 2722640 2926838 2994904 3326480 3659128 3743630 4573910 5853676 5989808 7317095 7318256 7487260 9147820 11707352 14634190 14974520 16097609 18295640 23414704 29268380 29949040 32195218 32909911 36591280 58536760 64390436 65819822 80488045 117073520 128780872 131639644 160976090 164549555 257561744 263279288 321952180 329099110 362009021 526558576 643904360 658198220 724018042 1287808720 1316396440 1415126173 1448036084 1810045105 2632792880 2830252346 2896072168 3620090210 5660504692 5792144336 7075630865 7240180420 11321009384 14151261730 14480360840 15566387903 22642018768 28302523460 28960721680 31132775806 56605046920 62265551612 77831939515 113210093840 124531103224 155663879030 249062206448 311327758060 622655516120 1245311032240