Search a number
-
+
44121301331140 = 225112343919862471
BaseRepresentation
bin10100000100000110010100…
…11111100010110011000100
312210012221210100110210110201
422002003022133202303010
521240340411120044030
6233501013534500244
712202441656255445
oct1202031237426304
9183187710423421
1044121301331140
11130708143a8140
124b47006664684
131b8080c060387
14ac76a790b2cc
15517a6a0322ca
hex2820ca7e2cc4

44121301331140 has 96 divisors (see below), whose sum is σ = 105712842977280. Its totient is φ = 15311580873600.

The previous prime is 44121301331137. The next prime is 44121301331161. The reversal of 44121301331140 is 4113310312144.

It is a junction number, because it is equal to n+sod(n) for n = 44121301331099 and 44121301331108.

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, 7709896 + ... + 12152575.

It is an arithmetic number, because the mean of its divisors is an integer number (1101175447680).

Almost surely, 244121301331140 is an apocalyptic number.

It is an amenable number.

44121301331140 is an abundant number, since it is smaller than the sum of its proper divisors (61591541646140).

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

44121301331140 is a wasteful number, since it uses less digits than its factorization.

44121301331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19862953 (or 19862951 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 44121301331140 its reverse (4113310312144), we get a palindrome (48234611643284).

The spelling of 44121301331140 in words is "forty-four trillion, one hundred twenty-one billion, three hundred one million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 439 460 506 878 1012 1265 1756 2195 2530 4390 4829 5060 8780 9658 10097 19316 20194 24145 40388 48290 50485 96580 100970 111067 201940 222134 444268 555335 1110670 2221340 19862471 39724942 79449884 99312355 198624710 218487181 397249420 436974362 456836833 873948724 913673666 1092435905 1827347332 2184871810 2284184165 4369743620 4568368330 5025205163 8719624769 9136736660 10050410326 17439249538 20100820652 25126025815 34878499076 43598123845 50252051630 87196247690 95915872459 100504103260 174392495380 191831744918 200551369687 383663489836 401102739374 479579362295 802205478748 959158724590 1002756848435 1918317449180 2005513696870 2206065066557 4011027393740 4412130133114 8824260266228 11030325332785 22060650665570 44121301331140