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20314053312444 = 22324191346728541
BaseRepresentation
bin1001001111001101110111…
…11011100111111110111100
32122221000010022011202220100
410213212323323213332330
510130311140121444234
6111112051450321100
74164433115104533
oct447467373477674
978830108152810
1020314053312444
116522161565a41
122340bbb429190
13b447b7799528
145032c399331a
152536361a9399
hex1279bbee7fbc

20314053312444 has 36 divisors (see below), whose sum is σ = 51471964875240. Its totient is φ = 6755190356640.

The previous prime is 20314053312419. The next prime is 20314053312457. The reversal of 20314053312444 is 44421335041302.

20314053312444 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 405 + 3 + 3 + 1 + 244 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20314053312399 and 20314053312408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673349187 + ... + 673379354.

It is an arithmetic number, because the mean of its divisors is an integer number (1429776802090).

Almost surely, 220314053312444 is an apocalyptic number.

It is an amenable number.

20314053312444 is an abundant number, since it is smaller than the sum of its proper divisors (31157911562796).

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

20314053312444 is a wasteful number, since it uses less digits than its factorization.

20314053312444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346728970 (or 1346728965 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 20314053312444 its reverse (44421335041302), we get a palindrome (64735388353746).

The spelling of 20314053312444 in words is "twenty trillion, three hundred fourteen billion, fifty-three million, three hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 419 838 1257 1676 2514 3771 5028 7542 15084 1346728541 2693457082 4040185623 5386914164 8080371246 12120556869 16160742492 24241113738 48482227476 564279258679 1128558517358 1692837776037 2257117034716 3385675552074 5078513328111 6771351104148 10157026656222 20314053312444