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245315315440 = 245132328136497
BaseRepresentation
bin1110010001110111101…
…1101010011011110000
3212110012110001020000201
43210131323222123300
513004401210043230
6304410222324544
723503066530166
oct3443573523360
9773173036021
10245315315440
1195046111418
123b663729754
131a1966611b0
14bc3258d236
1565ab8e95ca
hex391deea6f0

245315315440 has 160 divisors (see below), whose sum is σ = 643236080256. Its totient is φ = 86329098240.

The previous prime is 245315315369. The next prime is 245315315449. The reversal of 245315315440 is 44513513542.

It is a self number, because there is not a number n which added to its sum of digits gives 245315315440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245315315449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6703272 + ... + 6739768.

Almost surely, 2245315315440 is an apocalyptic number.

245315315440 is a gapful number since it is divisible by the number (20) 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 245315315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321618040128).

245315315440 is an abundant number, since it is smaller than the sum of its proper divisors (397920764816).

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

245315315440 is a wasteful number, since it uses less digits than its factorization.

245315315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36827 (or 36821 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 245315315440 its reverse (44513513542), we get a palindrome (289828828982).

The spelling of 245315315440 in words is "two hundred forty-five billion, three hundred fifteen million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 281 299 368 460 520 562 598 920 1040 1124 1196 1405 1495 1840 2248 2392 2810 2990 3653 4496 4784 5620 5980 6463 7306 11240 11960 12926 14612 18265 22480 23920 25852 29224 32315 36497 36530 51704 58448 64630 72994 73060 84019 103408 129260 145988 146120 168038 182485 258520 291976 292240 336076 364970 420095 474461 517040 583952 672152 729940 839431 840190 948922 1344304 1459880 1678862 1680380 1897844 2372305 2919760 3357724 3360760 3795688 4197155 4744610 6715448 6721520 7591376 8394310 9489220 10255657 10912603 13430896 16788620 18978440 20511314 21825206 33577240 37956880 41022628 43650412 51278285 54563015 67154480 82045256 87300824 102556570 109126030 133323541 164090512 174601648 205113140 218252060 235880111 266647082 410226280 436504120 471760222 533294164 666617705 820452560 873008240 943520444 1066588328 1179400555 1333235410 1887040888 2133176656 2358801110 2666470820 3066441443 3774081776 4717602220 5332941640 6132882886 9435204440 10665883280 12265765772 15332207215 18870408880 24531531544 30664414430 49063063088 61328828860 122657657720 245315315440