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14100849303808 = 282292393532851
BaseRepresentation
bin1100110100110001110000…
…0111010010000100000000
31211221000202102200101210211
43031030130013102010000
53322012014410210213
645553501333403504
72653516122320341
oct315143407220400
954830672611724
1014100849303808
114547155907263
1216b8a09a99594
137b39206b9b07
1436a6b02100c8
15196bde99d53d
hexcd31c1d2100

14100849303808 has 144 divisors (see below), whose sum is σ = 28478214777600. Its totient is φ = 6968018534400.

The previous prime is 14100849303743. The next prime is 14100849303883. The reversal of 14100849303808 is 80830394800141.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4945929583 + ... + 4945932433.

It is an arithmetic number, because the mean of its divisors is an integer number (197765380400).

Almost surely, 214100849303808 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 14100849303808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239107388800).

14100849303808 is an abundant number, since it is smaller than the sum of its proper divisors (14377365473792).

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

14100849303808 is a wasteful number, since it uses less digits than its factorization.

14100849303808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 14100849303808 in words is "fourteen trillion, one hundred billion, eight hundred forty-nine million, three hundred three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 128 229 239 256 353 458 478 706 916 956 1412 1832 1912 2824 2851 3664 3824 5648 5702 7328 7648 11296 11404 14656 15296 22592 22808 29312 30592 45184 45616 54731 58624 61184 80837 84367 90368 91232 109462 161674 168734 182464 218924 323348 337468 364928 437848 646696 652879 674936 681389 729856 875696 1006403 1293392 1305758 1349872 1362778 1751392 2012806 2586784 2611516 2699744 2725556 3502784 4025612 5173568 5223032 5399488 5451112 7005568 8051224 10347136 10446064 10798976 10902224 14011136 16102448 19320043 20694272 20892128 21597952 21804448 32204896 38640086 41784256 43608896 64409792 77280172 83568512 87217792 128819584 154560344 156038081 167137024 174435584 230466287 240530317 257639168 309120688 312076162 460932574 481060634 618241376 624152324 921865148 962121268 1236482752 1248304648 1843730296 1924242536 2472965504 2496609296 3687460592 3848485072 4945931008 4993218592 7374921184 7696970144 9986437184 14749842368 15393940288 19972874368 29499684736 30787880576 39945748736 55081442593 58999369472 61575761152 110162885186 220325770372 440651540744 881303081488 1762606162976 3525212325952 7050424651904 14100849303808