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144131003002344 = 233233131147270421
BaseRepresentation
bin100000110001011000011101…
…001111000010110111101000
3200220022210022102012021201010
4200301120131033002313220
5122342420243232033334
61230312511350023520
742234056421323511
oct4061303517026750
9626283272167633
10144131003002344
1141a196847864a6
12141b9679347ba0
13625665912c567
142783d98dc5a08
15119e2a13d10e9
hex83161d3c2de8

144131003002344 has 128 divisors (see below), whose sum is σ = 388136653332480. Its totient is φ = 44470806969600.

The previous prime is 144131003002333. The next prime is 144131003002373. The reversal of 144131003002344 is 443200300131441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532852254 + ... + 533122674.

It is an arithmetic number, because the mean of its divisors is an integer number (3032317604160).

Almost surely, 2144131003002344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144131003002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194068326666240).

144131003002344 is an abundant number, since it is smaller than the sum of its proper divisors (244005650330136).

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

144131003002344 is a wasteful number, since it uses less digits than its factorization.

144131003002344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301631 (or 301627 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144131003002344 its reverse (443200300131441), we get a palindrome (587331303133785).

The spelling of 144131003002344 in words is "one hundred forty-four trillion, one hundred thirty-one billion, three million, two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5704 8556 17112 31147 62294 93441 124588 186882 249176 270421 373764 540842 716381 747528 811263 965557 1081684 1432762 1622526 1931114 2149143 2163368 2865524 2896671 3245052 3862228 4298286 5731048 5793342 6219683 6490104 7724456 8383051 8596572 11586684 12439366 16766102 17193144 18659049 22207811 23173368 24878732 25149153 33532204 37318098 44415622 49757464 50298306 66623433 67064408 74636196 88831244 100596612 133246866 149272392 177662488 192810173 201193224 266493732 385620346 532987464 578430519 771240692 1156861038 1542481384 2313722076 4627444152 8422802887 16845605774 25268408661 33691211548 50536817322 67382423096 101073634644 193724466401 202147269288 261106889497 387448932802 522213778994 581173399203 774897865604 783320668491 1044427557988 1162346798406 1549795731208 1566641336982 2088855115976 2324693596812 3133282673964 4649387193624 6005458458431 6266565347928 12010916916862 18016375375293 24021833833724 36032750750586 48043667667448 72065501501172 144131003002344