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142550214144432 = 24323712801649273
BaseRepresentation
bin100000011010011000001110…
…111000000111000110110000
3200200201200000112001221100220
4200122120032320013012300
5122141020314310110212
61223102355254413040
742011625123614163
oct4032301670070660
9620650015057326
10142550214144432
114146a22a676446
1213ba322a361180
13617057332c923
14272b677d15ada
1511730d169238c
hex81a60ee071b0

142550214144432 has 160 divisors (see below), whose sum is σ = 389817710355456. Its totient is φ = 44794573824000.

The previous prime is 142550214144431. The next prime is 142550214144473. The reversal of 142550214144432 is 234441412055241.

It is not an unprimeable number, because it can be changed into a prime (142550214144431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219228948 + ... + 219878220.

Almost surely, 2142550214144432 is an apocalyptic number.

142550214144432 is a gapful number since it is divisible by the number (12) 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 142550214144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194908855177728).

142550214144432 is an abundant number, since it is smaller than the sum of its proper divisors (247267496211024).

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

142550214144432 is a wasteful number, since it uses less digits than its factorization.

142550214144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652179 (or 652173 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

Adding to 142550214144432 its reverse (234441412055241), we get a palindrome (376991626199673).

The spelling of 142550214144432 in words is "one hundred forty-two trillion, five hundred fifty billion, two hundred fourteen million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 92 138 142 184 213 276 284 368 426 552 568 852 1104 1136 1633 1704 2801 3266 3408 4899 5602 6532 8403 9798 11204 13064 16806 19596 22408 26128 33612 39192 44816 64423 67224 78384 128846 134448 193269 198871 257692 386538 397742 515384 596613 649273 773076 795484 1030768 1193226 1298546 1546152 1590968 1947819 2386452 2597092 3092304 3181936 3895638 4574033 4772904 5194184 7791276 9148066 9545808 10388368 13722099 14933279 15582552 18296132 27444198 29866558 31165104 36592264 44799837 46098383 54888396 59733116 73184528 89599674 92196766 109776792 119466232 138295149 179199348 184393532 219553584 238932464 276590298 358398696 368787064 553180596 716797392 737574128 1060262809 1106361192 1818613673 2120525618 2212722384 3180788427 3637227346 4241051236 5455841019 6361576854 7274454692 8482102472 10911682038 12723153708 14548909384 16964204944 21823364076 25446307416 29097818768 41828114479 43646728152 50892614832 83656228958 87293456304 125484343437 129121570783 167312457916 250968686874 258243141566 334624915832 387364712349 501937373748 516486283132 669249831664 774729424698 1003874747496 1032972566264 1549458849396 2007749494992 2065945132528 2969796128009 3098917698792 5939592256018 6197835397584 8909388384027 11879184512036 17818776768054 23758369024072 35637553536108 47516738048144 71275107072216 142550214144432