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21439164440441 = 1123294762171519
BaseRepresentation
bin1001101111111101100011…
…10001111101111101111001
32210220120020020021000101202
410313332301301331331321
510302224402044043231
6113333003254423545
74341633323644016
oct467766161757571
983816206230352
1021439164440441
116916331455080
1224a3078961bb5
13bc6920b19907
1454193809070d
15272a3647e5cb
hex137fb1c7df79

21439164440441 has 32 divisors (see below), whose sum is σ = 25783772774400. Its totient is φ = 17616921340480.

The previous prime is 21439164440417. The next prime is 21439164440471. The reversal of 21439164440441 is 14404446193412.

It is not a de Polignac number, because 21439164440441 - 214 = 21439164424057 is a prime.

It is a super-4 number, since 4×214391644404414 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21439164440471) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30740921 + ... + 31430598.

It is an arithmetic number, because the mean of its divisors is an integer number (805742899200).

Almost surely, 221439164440441 is an apocalyptic number.

It is an amenable number.

21439164440441 is a deficient number, since it is larger than the sum of its proper divisors (4344608333959).

21439164440441 is a wasteful number, since it uses less digits than its factorization.

21439164440441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62171629.

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 21439164440441 in words is "twenty-one trillion, four hundred thirty-nine billion, one hundred sixty-four million, four hundred forty thousand, four hundred forty-one".

Divisors: 1 11 23 29 47 253 319 517 667 1081 1363 7337 11891 14993 31349 344839 62171519 683886709 1429944937 1802974051 2922061393 15729394307 19832714561 32142675323 41468403173 67207412039 84739780397 456152434903 739281532429 932137584367 1949014949131 21439164440441