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142323350104544 = 25731182311242937
BaseRepresentation
bin100000010111000100111100…
…101110011110100111100000
3200122220222102222100122001012
4200113010330232132213200
5122123311210111321134
61222410235555000052
741656344202240160
oct4027047456364740
9618828388318035
10142323350104544
1141391aa2854494
1213b67275b99028
13615505a55447b
1427206b60a45a0
15116c254a926ce
hex81713cb9e9e0

142323350104544 has 96 divisors (see below), whose sum is σ = 330738813812736. Its totient is φ = 58995732648960.

The previous prime is 142323350104469. The next prime is 142323350104619. The reversal of 142323350104544 is 445401053323241.

It is an interprime number because it is at equal distance from previous prime (142323350104469) and next prime (142323350104619).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7037444 + ... + 18280380.

It is an arithmetic number, because the mean of its divisors is an integer number (3445195977216).

Almost surely, 2142323350104544 is an apocalyptic number.

142323350104544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142323350104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165369406906368).

142323350104544 is an abundant number, since it is smaller than the sum of its proper divisors (188415463708192).

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

142323350104544 is a wasteful number, since it uses less digits than its factorization.

142323350104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244808 (or 11244800 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 142323350104544 in words is "one hundred forty-two trillion, three hundred twenty-three billion, three hundred fifty million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 1823 3472 3646 6944 7292 12761 14584 25522 29168 51044 56513 58336 102088 113026 204176 226052 395591 408352 452104 791182 904208 1582364 1808416 3164728 6329456 11242937 12658912 22485874 44971748 78700559 89943496 157401118 179886992 314802236 348531047 359773984 629604472 697062094 1259208944 1394124188 2439717329 2518417888 2788248376 4879434658 5576496752 9758869316 11152993504 19517738632 20495874151 39035477264 40991748302 78070954528 81983496604 143471119057 163966993208 286942238114 327933986416 573884476228 635372098681 655867972832 1147768952456 1270744197362 2295537904912 2541488394724 4447604690767 4591075809824 5082976789448 8895209381534 10165953578896 17790418763068 20331907157792 35580837526136 71161675052272 142323350104544