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16442020260240 = 24351312273230077
BaseRepresentation
bin1110111101000011010011…
…0001101110100110010000
32011012211201122212120021020
43233100310301232212100
54123341224141311430
654545205420155440
73314616406154031
oct357206461564620
964184648776236
1016442020260240
11526a026881273
121a166a7398b80
139236255c7c63
1440bb25adca88
151d7a64821b10
hexef434c6e990

16442020260240 has 160 divisors (see below), whose sum is σ = 51382167509376. Its totient is φ = 4349135831040.

The previous prime is 16442020260221. The next prime is 16442020260257. The reversal of 16442020260240 is 4206202024461.

16442020260240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164420202602403 (a number of 41 digits) contains 333 as substring.

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, 71348082 + ... + 71578158.

Almost surely, 216442020260240 is an apocalyptic number.

16442020260240 is a gapful number since it is divisible by the number (10) 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 16442020260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25691083754688).

16442020260240 is an abundant number, since it is smaller than the sum of its proper divisors (34940147249136).

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

16442020260240 is a wasteful number, since it uses less digits than its factorization.

16442020260240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232497 (or 232491 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 16442020260240 in words is "sixteen trillion, four hundred forty-two billion, twenty million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2273 2620 3144 3930 4546 5240 6288 6819 7860 9092 10480 11365 13638 15720 18184 22730 27276 31440 34095 36368 45460 54552 68190 90920 109104 136380 181840 230077 272760 297763 460154 545520 595526 690231 893289 920308 1150385 1191052 1380462 1488815 1786578 1840616 2300770 2382104 2760924 2977630 3451155 3573156 3681232 4466445 4601540 4764208 5521848 5955260 6902310 7146312 8932890 9203080 11043696 11910520 13804620 14292624 17865780 18406160 23821040 27609240 30140087 35731560 55218480 60280174 71463120 90420261 120560348 150700435 180840522 241120696 301400870 361681044 452101305 482241392 522965021 602801740 723362088 904202610 1045930042 1205603480 1446724176 1568895063 1808405220 2091860084 2411206960 2614825105 3137790126 3616810440 4183720168 5229650210 6275580252 7233620880 7844475315 8367440336 10459300420 12551160504 15688950630 20918600840 25102321008 31377901260 41837201680 62755802520 68508417751 125511605040 137016835502 205525253253 274033671004 342542088755 411050506506 548067342008 685084177510 822101013012 1027626266265 1096134684016 1370168355020 1644202026024 2055252532530 2740336710040 3288404052048 4110505065060 5480673420080 8221010130120 16442020260240