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4424420204016 = 2431967637911351
BaseRepresentation
bin100000001100010001111…
…1111101001110111110000
3120122222012110011222011120
41000120203333221313300
51034442203033012031
613224314531542240
7634440154135161
oct100304377516760
916588173158146
104424420204016
11145642795175a
125b559545a980
132612b47c9927
14114200881768
157a1516e9a96
hex40623fe9df0

4424420204016 has 160 divisors (see below), whose sum is σ = 12213880166400. Its totient is φ = 1375994822400.

The previous prime is 4424420203993. The next prime is 4424420204027. The reversal of 4424420204016 is 6104020244244.

It is a happy number.

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, 389776741 + ... + 389788091.

It is an arithmetic number, because the mean of its divisors is an integer number (76336751040).

Almost surely, 24424420204016 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 4424420204016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106940083200).

4424420204016 is an abundant number, since it is smaller than the sum of its proper divisors (7789459962384).

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

4424420204016 is a wasteful number, since it uses less digits than its factorization.

4424420204016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17827 (or 17821 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 4424420204016 in words is "four trillion, four hundred twenty-four billion, four hundred twenty million, two hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 152 201 228 268 304 402 456 536 804 912 1072 1273 1608 2546 3216 3819 5092 6379 7638 10184 11351 12758 15276 19137 20368 22702 25516 30552 34053 38274 45404 51032 61104 68106 76548 90808 102064 121201 136212 153096 181616 215669 242402 272424 306192 363603 427393 431338 484804 544848 647007 727206 760517 854786 862676 969608 1282179 1294014 1454412 1521034 1709572 1725352 1939216 2281551 2564358 2588028 2908824 3042068 3419144 3450704 4563102 5128716 5176056 5817648 6084136 6838288 8120467 9126204 10257432 10352112 12168272 14449823 16240934 18252408 20514864 24361401 28899646 32481868 36504816 43349469 48722802 57799292 64963736 72408029 86698938 97445604 115598584 129927472 144816058 173397876 194891208 217224087 231197168 289632116 346795752 389782416 434448174 579264232 693591504 868896348 1158528464 1375752551 1737792696 2751505102 3475585392 4127257653 4851337943 5503010204 8254515306 9702675886 11006020408 14554013829 16509030612 19405351772 22012040816 29108027658 33018061224 38810703544 58216055316 66036122448 77621407088 92175420917 116432110632 184350841834 232864221264 276526262751 368701683668 553052525502 737403367336 1106105051004 1474806734672 2212210102008 4424420204016