Search a number
-
+
256303301444368 = 24291077398278447
BaseRepresentation
bin111010010001101101000011…
…001111001100001100010000
31020121111100121202111122121221
4322101231003033030030100
5232043233130132204433
62305040040004254424
7104662205512221643
oct7221550317141420
91217440552448557
10256303301444368
117473668a941102
12248b53690a1414
13b0023b3b3a109
1447412087d3a5a
151e970850d172d
hexe91b433cc310

256303301444368 has 160 divisors (see below), whose sum is σ = 519903409766400. Its totient is φ = 122247889408512.

The previous prime is 256303301444347. The next prime is 256303301444369. The reversal of 256303301444368 is 863444103303652.

It is not an unprimeable number, because it can be changed into a prime (256303301444369) 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, 30342519921 + ... + 30342528367.

It is an arithmetic number, because the mean of its divisors is an integer number (3249396311040).

Almost surely, 2256303301444368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256303301444368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259951704883200).

256303301444368 is an abundant number, since it is smaller than the sum of its proper divisors (263600108322032).

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

256303301444368 is a wasteful number, since it uses less digits than its factorization.

256303301444368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157 (or 10151 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 52.

The spelling of 256303301444368 in words is "two hundred fifty-six trillion, three hundred three billion, three hundred one million, four hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 107 116 214 232 428 464 739 827 856 1478 1654 1712 2956 3103 3308 5912 6206 6616 8447 11824 12412 13232 16894 21431 23983 24824 33788 42862 47966 49648 67576 79073 85724 88489 95932 135152 158146 171448 176978 191864 244963 316292 342896 353956 383728 489926 611153 632584 707912 903829 979852 1222306 1265168 1415824 1807658 1959704 2293117 2444612 2566181 3615316 3919408 4586234 4889224 5132362 6242333 6985669 7230632 9172468 9778448 10264724 12484666 13971338 14461264 17723437 18344936 20529448 24969332 26211041 27942676 35446874 36689872 41058896 49938664 52422082 55885352 65393371 70893748 99877328 104844164 111770704 130786742 141787496 181027657 202584401 209688328 261573484 283574992 362055314 405168802 419376656 523146968 667929631 724110628 747466583 810337604 1046293936 1335859262 1448221256 1494933166 1620675208 1896407759 2671718524 2896442512 2989866332 3241350416 3792815518 5162409391 5343437048 5979732664 7585631036 10324818782 10686874096 11959465328 15171262072 19369959299 20649637564 21676530907 30342524144 38739918598 41299275128 43353061814 77479837196 82598550256 86706123628 149709872339 154959674392 173412247256 299419744678 309919348784 346824494512 552377804837 598839489356 1104755609674 1197678978712 2209511219348 2395357957424 4419022438696 8838044877392 16018956340273 32037912680546 64075825361092 128151650722184 256303301444368