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21314446360224 = 253418135309963
BaseRepresentation
bin1001101100010101010000…
…00000001111111010100000
32210110122022102012002120120
410312022220000033322200
510243203441232011344
6113155415501240240
74326626564521503
oct466125000177240
983418272162516
1021314446360224
116878451338506
122482a70b63080
13bb7c36311104
145398a62b113a
1526e6871ae219
hex1362a800fea0

21314446360224 has 48 divisors (see below), whose sum is σ = 55951770343392. Its totient is φ = 7104644196608.

The previous prime is 21314446360223. The next prime is 21314446360237. The reversal of 21314446360224 is 42206364441312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×213144463602242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21314446360223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1359067 + ... + 6669029.

It is an arithmetic number, because the mean of its divisors is an integer number (1165661882154).

Almost surely, 221314446360224 is an apocalyptic number.

21314446360224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21314446360224 is an abundant number, since it is smaller than the sum of its proper divisors (34637323983168).

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

21314446360224 is a wasteful number, since it uses less digits than its factorization.

21314446360224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351789 (or 5351781 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 21314446360224 in words is "twenty-one trillion, three hundred fourteen billion, four hundred forty-six million, three hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 41813 83626 125439 167252 250878 334504 501756 669008 1003512 1338016 2007024 4014048 5309963 10619926 15929889 21239852 31859778 42479704 63719556 84959408 127439112 169918816 254878224 509756448 222025482919 444050965838 666076448757 888101931676 1332152897514 1776203863352 2664305795028 3552407726704 5328611590056 7104815453408 10657223180112 21314446360224