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4014348845056 = 21411214232
BaseRepresentation
bin111010011010101001110…
…101100100000000000000
3112012202201212120112221221
4322122221311210000000
51011232341301020211
612312055535324424
7563012210115454
oct72325165440000
915182655515857
104014348845056
1113085262a6300
1254a011380714
13231722777bb4
14dc41cca2664
156e650a49c71
hex3a6a9d64000

4014348845056 has 135 divisors (see below), whose sum is σ = 8830868663883. Its totient is φ = 1823421726720.

The previous prime is 4014348845051. The next prime is 4014348845057. The reversal of 4014348845056 is 6505488434104.

The square root of 4014348845056 is 2003584.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×40143488450562 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4014348844994 and 4014348845012.

It is not an unprimeable number, because it can be changed into a prime (4014348845051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2821045561 + ... + 2821046983.

Almost surely, 24014348845056 is an apocalyptic number.

4014348845056 is the 2003584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014348845056

4014348845056 is an abundant number, since it is smaller than the sum of its proper divisors (4816519818827).

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

4014348845056 is an frugal number, since it uses more digits than its factorization.

4014348845056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 52.

The spelling of 4014348845056 in words is "four trillion, fourteen billion, three hundred forty-eight million, eight hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1423 1936 2048 2816 2846 3872 4096 5632 5692 7744 8192 11264 11384 15488 15653 16384 22528 22768 30976 31306 45056 45536 61952 62612 90112 91072 123904 125224 172183 180224 182144 247808 250448 344366 364288 495616 500896 688732 728576 991232 1001792 1377464 1457152 1982464 2003584 2024929 2754928 2914304 4007168 4049858 5509856 5828608 8014336 8099716 11019712 11657216 16028672 16199432 22039424 22274219 23314432 32057344 32398864 44078848 44548438 64114688 64797728 88157696 89096876 128229376 129595456 176315392 178193752 245016409 256458752 259190912 352630784 356387504 490032818 518381824 705261568 712775008 980065636 1036763648 1410523136 1425550016 1960131272 2073527296 2821046272 2851100032 3920262544 4147054592 5702200064 7840525088 8294109184 11404400128 15681050176 16588218368 22808800256 31362100352 33176436736 45617600512 62724200704 91235201024 125448401408 182470402048 250896802816 364940804096 501793605632 1003587211264 2007174422528 4014348845056