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1414110260224 = 21036713072879
BaseRepresentation
bin10100100100111111100…
…010100010110000000000
312000012001202221021122101
4110210333202202300000
5141132044211311344
63001344442320144
7204110653612654
oct24447742426000
95005052837571
101414110260224
114a57a2415682
121aa0927b9054
13a347200c68c
144c62c5c4a64
1526bb6cc29d4
hex1493f8a2c00

1414110260224 has 88 divisors (see below), whose sum is σ = 2837696163840. Its totient is φ = 704344313856.

The previous prime is 1414110260209. The next prime is 1414110260327. The reversal of 1414110260224 is 4220620114141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1414110260192 and 1414110260201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491179617 + ... + 491182495.

Almost surely, 21414110260224 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 1414110260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418848081920).

1414110260224 is an abundant number, since it is smaller than the sum of its proper divisors (1423585903616).

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

1414110260224 is a wasteful number, since it uses less digits than its factorization.

1414110260224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1414110260224 its reverse (4220620114141), we get a palindrome (5634730374365).

The spelling of 1414110260224 in words is "one trillion, four hundred fourteen billion, one hundred ten million, two hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 367 512 734 1024 1307 1468 2614 2879 2936 5228 5758 5872 10456 11516 11744 20912 23032 23488 41824 46064 46976 83648 92128 93952 167296 184256 187904 334592 368512 375808 479669 669184 737024 959338 1056593 1338368 1474048 1918676 2113186 2948096 3762853 3837352 4226372 7525706 7674704 8452744 15051412 15349408 16905488 30102824 30698816 33810976 60205648 61397632 67621952 120411296 122795264 135243904 240822592 245590528 270487808 481645184 491181056 540975616 963290368 1081951232 1380967051 1926580736 2761934102 3853161472 5523868204 11047736408 22095472816 44190945632 88381891264 176763782528 353527565056 707055130112 1414110260224