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4411024220020 = 22511223110371849
BaseRepresentation
bin100000000110000010110…
…0010000001111101110100
3120121200121212021110210011
41000030011202001331310
51034232234200020040
613214221353310004
7633454202143225
oct100140542017564
916550555243704
104411024220020
1114507831a4700
125b2a77105304
1325cc5b391592
141136cd6b924c
1579b1a6293ea
hex40305881f74

4411024220020 has 144 divisors (see below), whose sum is σ = 10634278233600. Its totient is φ = 1532856962560.

The previous prime is 4411024219969. The next prime is 4411024220039. The reversal of 4411024220020 is 200224201144.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4411024219973 and 4411024220000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61357056 + ... + 61428904.

It is an arithmetic number, because the mean of its divisors is an integer number (73849154400).

Almost surely, 24411024220020 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 4411024220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317139116800).

4411024220020 is an abundant number, since it is smaller than the sum of its proper divisors (6223254013580).

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

4411024220020 is a wasteful number, since it uses less digits than its factorization.

4411024220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73006 (or 72993 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 4411024220020 its reverse (200224201144), we get a palindrome (4611248421164).

The spelling of 4411024220020 in words is "four trillion, four hundred eleven billion, twenty-four million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1103 1210 1265 2206 2420 2530 2783 4412 5060 5515 5566 11030 11132 12133 13915 22060 24266 25369 27830 48532 50738 55660 60665 71849 101476 121330 126845 133463 143698 242660 253690 266926 279059 287396 359245 507380 533852 558118 667315 718490 790339 1116236 1334630 1395295 1436980 1580678 1652527 2669260 2790590 3069649 3161356 3305054 3951695 5581180 6139298 6610108 7903390 8262635 8693729 12278596 15348245 15806780 16525270 17387458 18177797 30696490 33050540 34774916 36355594 43468645 61392980 72711188 79249447 86937290 90888985 158498894 173874580 181777970 199955767 316997788 363555940 396247235 399911534 792494470 799823068 871743917 999778835 1584988940 1743487834 1822737281 1999557670 3486975668 3645474562 3999115340 4358719585 7290949124 8717439170 9113686405 9589183087 17434878340 18227372810 19178366174 20050110091 36454745620 38356732348 40100220182 47945915435 80200440364 95891830870 100250550455 191783661740 200501100910 220551211001 401002201820 441102422002 882204844004 1102756055005 2205512110010 4411024220020