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42211681221360 = 24357223112672649
BaseRepresentation
bin10011001100100001011000…
…10000111011101011110000
312112110101201122100002001010
421212100230100323223300
521013044010343040420
6225435440104310520
711614456545201540
oct1146205420735360
9175411648302033
1042211681221360
11124a4967658602
124898aa6772440
131a7271023b4b1
14a5d0b05a7320
154d30519214e0
hex26642c43baf0

42211681221360 has 160 divisors (see below), whose sum is σ = 150220585267200. Its totient is φ = 9605117896704.

The previous prime is 42211681221323. The next prime is 42211681221371. The reversal of 42211681221360 is 6312218611224.

It is a super-2 number, since 2×422116812213602 (a number of 28 digits) contains 22 as substring.

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, 55961685 + ... + 56710964.

It is an arithmetic number, because the mean of its divisors is an integer number (938878657920).

Almost surely, 242211681221360 is an apocalyptic number.

42211681221360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42211681221360 is an abundant number, since it is smaller than the sum of its proper divisors (108008904045840).

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

42211681221360 is a wasteful number, since it uses less digits than its factorization.

42211681221360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112672895 (or 112672889 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

Adding to 42211681221360 its reverse (6312218611224), we get a palindrome (48523899832584).

The spelling of 42211681221360 in words is "forty-two trillion, two hundred eleven billion, six hundred eighty-one million, two hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 223 240 280 336 420 446 560 669 840 892 1115 1338 1561 1680 1784 2230 2676 3122 3345 3568 4460 4683 5352 6244 6690 7805 8920 9366 10704 12488 13380 15610 17840 18732 23415 24976 26760 31220 37464 46830 53520 62440 74928 93660 124880 187320 374640 112672649 225345298 338017947 450690596 563363245 676035894 788708543 901381192 1126726490 1352071788 1577417086 1690089735 1802762384 2253452980 2366125629 2704143576 3154834172 3380179470 3943542715 4506905960 4732251258 5408287152 6309668344 6760358940 7887085430 9013811920 9464502516 11830628145 12619336688 13520717880 15774170860 18929005032 23661256290 25126000727 27041435760 31548341720 37858010064 47322512580 50252001454 63096683440 75378002181 94645025160 100504002908 125630003635 150756004362 175882005089 189290050320 201008005816 251260007270 301512008724 351764010178 376890010905 402016011632 502520014540 527646015267 603024017448 703528020356 753780021810 879410025445 1005040029080 1055292030534 1206048034896 1407056040712 1507560043620 1758820050890 2010080058160 2110584061068 2638230076335 2814112081424 3015120087240 3517640101780 4221168122136 5276460152670 6030240174480 7035280203560 8442336244272 10552920305340 14070560407120 21105840610680 42211681221360