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21044320013040 = 2435195950977551
BaseRepresentation
bin1001100100011110000110…
…01110000000101011110000
32202111211001211210212110020
410302033003032000223300
510224242231410404130
6112431343244203440
74301254603456632
oct462170316005360
982454054725406
1021044320013040
116783934028785
12243a644239580
13b9861763a65c
1452a79c8c8a52
152676274bce10
hex1323c3380af0

21044320013040 has 160 divisors (see below), whose sum is σ = 68672978457600. Its totient is φ = 5316301900800.

The previous prime is 21044320012993. The next prime is 21044320013081. The reversal of 21044320013040 is 4031002344012.

It is a super-2 number, since 2×210443200130402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21044320013040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271322265 + ... + 271399815.

It is an arithmetic number, because the mean of its divisors is an integer number (429206115360).

Almost surely, 221044320013040 is an apocalyptic number.

21044320013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21044320013040 is an abundant number, since it is smaller than the sum of its proper divisors (47628658444560).

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

21044320013040 is a wasteful number, since it uses less digits than its factorization.

21044320013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137095 (or 137089 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21044320013040 its reverse (4031002344012), we get a palindrome (25075322357052).

The spelling of 21044320013040 in words is "twenty-one trillion, forty-four billion, three hundred twenty million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 59509 77551 119018 155102 178527 232653 238036 297545 310204 357054 387755 465306 476072 595090 620408 714108 775510 892635 930612 952144 1130671 1163265 1190180 1240816 1428216 1473469 1551020 1785270 1861224 2261342 2326530 2380360 2856432 2946938 3102040 3392013 3570540 3722448 4420407 4522684 4653060 4760720 5653355 5893876 6204080 6784026 7141080 7367345 8840814 9045368 9306120 11306710 11787752 13568052 14282160 14734690 16960065 17681628 18090736 18612240 22102035 22613420 23575504 27136104 29469380 33920130 35363256 44204070 45226840 54272208 58938760 67840260 70726512 88408140 90453680 117877520 135680520 176816280 271361040 353632560 4614982459 9229964918 13844947377 18459929836 23074912295 27689894754 36919859672 46149824590 55379789508 69224736885 73839719344 87684666721 92299649180 110759579016 138449473770 175369333442 184599298360 221519158032 263054000163 276898947540 350738666884 369198596720 438423333605 526108000326 553797895080 701477333768 876846667210 1052216000652 1107595790160 1315270000815 1402954667536 1753693334420 2104432001304 2630540001630 3507386668840 4208864002608 5261080003260 7014773337680 10522160006520 21044320013040