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1444324421142 = 2323797157142403
BaseRepresentation
bin10101000001001000011…
…100011010111000010110
312010002001110012200120100
4111001020130122320112
5142130434022434032
63023302524514530
7206230464005451
oct25011034327026
95102043180510
101444324421142
115075975339a9
121b3b053aba46
13a62788794c5
144dc9725a498
152788460197c
hex1504871ae16

1444324421142 has 96 divisors (see below), whose sum is σ = 3267785600352. Its totient is φ = 460644268032.

The previous prime is 1444324421123. The next prime is 1444324421261. The reversal of 1444324421142 is 2411244234441.

1444324421142 is a `hidden beast` number, since 1 + 4 + 4 + 432 + 4 + 4 + 211 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1444324421097 and 1444324421106.

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 47 ways as a sum of consecutive naturals, for example, 10071313 + ... + 10213715.

It is an arithmetic number, because the mean of its divisors is an integer number (34039433337).

Almost surely, 21444324421142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444324421142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633892800176).

1444324421142 is an abundant number, since it is smaller than the sum of its proper divisors (1823461179210).

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

1444324421142 is a wasteful number, since it uses less digits than its factorization.

1444324421142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142702 (or 142699 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 1444324421142 its reverse (2411244234441), we get a palindrome (3855568655583).

The spelling of 1444324421142 in words is "one trillion, four hundred forty-four billion, three hundred twenty-four million, four hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 97 111 157 194 222 291 314 333 471 582 666 873 942 1413 1746 2826 3589 5809 7178 10767 11618 15229 17427 21534 30458 32301 34854 45687 52281 64602 91374 104562 137061 142403 274122 284806 427209 563473 854418 1126946 1281627 1690419 2563254 3380838 5071257 5268911 10142514 10537822 13813091 15806733 22357271 27626182 31613466 41439273 44714542 47420199 67071813 82878546 94840398 124317819 134143626 201215439 248635638 402430878 511084367 827219027 1022168734 1533253101 1654438054 2168655287 2481657081 3066506202 4337310574 4599759303 4963314162 6505965861 7444971243 9199518606 13011931722 14889942486 19517897583 39035795166 80240245619 160480491238 240720736857 481441473714 722162210571 1444324421142