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4445346435444 = 2233471018670869
BaseRepresentation
bin100000010110000001101…
…0010111001000101110100
3120201222012211120200002000
41000230003102321011310
51040313032141413234
613242055225415300
7636110554152225
oct100540322710564
916658184520060
104445346435444
11146429619a0a2
125b965563a530
1326326b0537a5
14115227b9124c
157a978924899
hex40b034b9174

4445346435444 has 96 divisors (see below), whose sum is σ = 11886722265600. Its totient is φ = 1435895740800.

The previous prime is 4445346435421. The next prime is 4445346435457.

4445346435444 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 34 + 64 + 3 + 544 + 4 = 666.

4445346435444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44453464354442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3822759 + ... + 4848110.

It is an arithmetic number, because the mean of its divisors is an integer number (123820023600).

Almost surely, 24445346435444 is an apocalyptic number.

It is an amenable number.

4445346435444 is an abundant number, since it is smaller than the sum of its proper divisors (7441375830156).

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

4445346435444 is a wasteful number, since it uses less digits than its factorization.

4445346435444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8671030 (or 8671022 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 54.

The spelling of 4445346435444 in words is "four trillion, four hundred forty-five billion, three hundred forty-six million, four hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 101 108 141 188 202 282 303 404 423 564 606 846 909 1212 1269 1692 1818 2538 2727 3636 4747 5076 5454 9494 10908 14241 18988 28482 42723 56964 85446 128169 170892 256338 512676 8670869 17341738 26012607 34683476 52025214 78037821 104050428 156075642 234113463 312151284 407530843 468226926 815061686 875757769 936453852 1222592529 1630123372 1751515538 2445185058 2627273307 3503031076 3667777587 4890370116 5254546614 7335555174 7881819921 10509093228 11003332761 14671110348 15763639842 22006665522 23645459763 31527279684 41160615143 44013331044 47290919526 82321230286 94581839052 123481845429 164642460572 246963690858 370445536287 493927381716 740891072574 1111336608861 1481782145148 2222673217722 4445346435444