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2013244224432 = 243723463562663
BaseRepresentation
bin11101010010111110101…
…101001111001110110000
321010110112110012011100220
4131102332231033032300
5230441111010140212
64140512134413040
7265311032361210
oct35227655171660
97113473164326
102013244224432
117068a2974711
1228621b501180
13117b0440596c
146d627830240
1537580ac238c
hex1d4beb4f3b0

2013244224432 has 160 divisors (see below), whose sum is σ = 6215699693568. Its totient is φ = 549014070528.

The previous prime is 2013244224371. The next prime is 2013244224463. The reversal of 2013244224432 is 2344224423102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2013244224393 and 2013244224402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3296733 + ... + 3859395.

Almost surely, 22013244224432 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 2013244224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107849846784).

2013244224432 is an abundant number, since it is smaller than the sum of its proper divisors (4202455469136).

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

2013244224432 is a wasteful number, since it uses less digits than its factorization.

2013244224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563167 (or 563161 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2013244224432 its reverse (2344224423102), we get a palindrome (4357468647534).

The spelling of 2013244224432 in words is "two trillion, thirteen billion, two hundred forty-four million, two hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 463 483 552 644 926 966 1104 1288 1389 1852 1932 2576 2778 3241 3704 3864 5556 6482 7408 7728 9723 10649 11112 12964 19446 21298 22224 25928 31947 38892 42596 51856 63894 74543 77784 85192 127788 149086 155568 170384 223629 255576 298172 447258 511152 562663 596344 894516 1125326 1192688 1687989 1789032 2250652 3375978 3578064 3938641 4501304 6751956 7877282 9002608 11815923 12941249 13503912 15754564 23631846 25882498 27007824 31509128 38823747 47263692 51764996 63018256 77647494 90588743 94527384 103529992 155294988 181177486 189054768 207059984 260512969 271766229 310589976 362354972 521025938 543532458 621179952 724709944 781538907 1042051876 1087064916 1449419888 1563077814 1823590783 2084103752 2174129832 3126155628 3647181566 4168207504 4348259664 5470772349 5991798287 6252311256 7294363132 10941544698 11983596574 12504622512 14588726264 17975394861 21883089396 23967193148 29177452528 35950789722 41942588009 43766178792 47934386296 71901579444 83885176018 87532357584 95868772592 125827764027 143803158888 167770352036 251655528054 287606317776 335540704072 503311056108 671081408144 1006622112216 2013244224432