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3441140011100 = 22521113736762219
BaseRepresentation
bin110010000100110011111…
…011011001000001011100
3110011222011222000202011202
4302010303323121001130
5422334423320323400
611152500552535032
7503420441324321
oct62046373310134
913158158022152
103441140011100
11110741990a350
12476aba9b1478
131bc66247007c
14bc7a2c1cb48
155e7a2c604d5
hex32133ed905c

3441140011100 has 144 divisors (see below), whose sum is σ = 8228068369920. Its totient is φ = 1238785267200.

The previous prime is 3441140011009. The next prime is 3441140011129. The reversal of 3441140011100 is 11100411443.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 55275791 + ... + 55338009.

It is an arithmetic number, because the mean of its divisors is an integer number (57139363680).

Almost surely, 23441140011100 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 3441140011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114034184960).

3441140011100 is an abundant number, since it is smaller than the sum of its proper divisors (4786928358820).

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

3441140011100 is a wasteful number, since it uses less digits than its factorization.

3441140011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62748 (or 62741 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 3441140011100 its reverse (11100411443), we get a palindrome (3452240422543).

The spelling of 3441140011100 in words is "three trillion, four hundred forty-one billion, one hundred forty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 137 220 274 275 367 548 550 685 734 1100 1370 1468 1507 1835 2740 3014 3425 3670 4037 6028 6850 7340 7535 8074 9175 13700 15070 16148 18350 20185 30140 36700 37675 40370 50279 62219 75350 80740 100558 100925 124438 150700 201116 201850 248876 251395 311095 403700 502790 553069 622190 684409 1005580 1106138 1244380 1256975 1368818 1555475 2212276 2513950 2737636 2765345 3110950 3422045 5027900 5530690 6221900 6844090 8524003 11061380 13688180 13826725 17048006 17110225 22834373 27653450 34096012 34220450 42620015 45668746 55306900 68440900 85240030 91337492 93764033 114171865 170480060 187528066 213100075 228343730 251178103 375056132 426200150 456687460 468820165 502356206 570859325 852400300 937640330 1004712412 1141718650 1255890515 1875280660 2283437300 2344100825 2511781030 3128309101 4688201650 5023562060 6256618202 6279452575 9376403300 12513236404 12558905150 15641545505 25117810300 31283091010 34411400111 62566182020 68822800222 78207727525 137645600444 156415455050 172057000555 312830910100 344114001110 688228002220 860285002775 1720570005550 3441140011100