Search a number
-
+
244701307353712 = 241171727121722133
BaseRepresentation
bin110111101000110111110110…
…100000000011101001110000
31012002102012211211202121200211
4313220313312200003221300
5224033141234140304322
62224234121222153504
7102354041340500026
oct6750676640035160
91162365754677624
10244701307353712
1170a732727188a0
1223540904882894
13a670307900181
14445d86c21a716
151d453989b2b77
hexde8df6803a70

244701307353712 has 160 divisors (see below), whose sum is σ = 525670988903424. Its totient is φ = 109415508787200.

The previous prime is 244701307353703. The next prime is 244701307353739. The reversal of 244701307353712 is 217353703107442.

244701307353712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11055937398 + ... + 11055959530.

Almost surely, 2244701307353712 is an apocalyptic number.

244701307353712 is a gapful number since it is divisible by the number (22) 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 244701307353712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262835494451712).

244701307353712 is an abundant number, since it is smaller than the sum of its proper divisors (280969681549712).

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

244701307353712 is a wasteful number, since it uses less digits than its factorization.

244701307353712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24167 (or 24161 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 49.

The spelling of 244701307353712 in words is "two hundred forty-four trillion, seven hundred one billion, three hundred seven million, three hundred fifty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 727 781 1136 1217 1454 1562 2434 2908 3124 4868 5816 6248 7997 9736 11632 12496 13387 15994 19472 22133 26774 31988 44266 51617 53548 63976 86407 88532 103234 107096 127952 172814 177064 206468 214192 243463 345628 354128 412936 486926 567787 691256 825872 884759 950477 973852 1135574 1382512 1571443 1769518 1900954 1947704 2271148 3142886 3539036 3801908 3895408 4542296 6285772 7078072 7603816 9084592 9732349 12571544 14156144 15207632 16090691 17285873 19464698 25143088 26935861 32181382 34571746 38929396 53871722 62817889 64362764 69143492 77858792 107743444 125635778 128725528 138286984 155717584 176997601 215486888 251271556 257451056 276573968 296294471 353995202 430973776 502543112 592588942 690996779 707990404 1005086224 1142439061 1185177884 1381993558 1415980808 1912446131 2284878122 2370355768 2763987116 2831961616 3824892262 4569756244 4740711536 5527974232 7649784524 9139512488 11055948464 12566829671 15299569048 18279024976 19582370947 21036907441 25133659342 30599138096 39164741894 42073814882 50267318684 78329483788 84147629764 100534637368 156658967576 168295259528 201069274736 215406080417 313317935152 336590519056 430812160834 861624321668 1390348337237 1723248643336 2780696674474 3446497286672 5561393348948 11122786697896 15293831709607 22245573395792 30587663419214 61175326838428 122350653676856 244701307353712