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142442444011504 = 2473136907289063
BaseRepresentation
bin100000011000110011110111…
…010001101011011111110000
3200200100100211211112221120011
4200120303313101223133300
5122132234111131332004
61222541053322424304
742001061356606000
oct4030636721533760
9620310754487504
10142442444011504
11414285571a548a
1213b86372362094
136163359ac09c0
142726372d46000
1511703c5216004
hex818cf746b7f0

142442444011504 has 160 divisors (see below), whose sum is σ = 346653873843200. Its totient is φ = 56342503542528.

The previous prime is 142442444011477. The next prime is 142442444011519. The reversal of 142442444011504 is 405110444244241.

It is a congruent number.

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, 492628477 + ... + 492917539.

It is an arithmetic number, because the mean of its divisors is an integer number (2166586711520).

Almost surely, 2142442444011504 is an apocalyptic number.

142442444011504 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 142442444011504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173326936921600).

142442444011504 is an abundant number, since it is smaller than the sum of its proper divisors (204211429831696).

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

142442444011504 is a wasteful number, since it uses less digits than its factorization.

142442444011504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296012 (or 295992 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 40.

Adding to 142442444011504 its reverse (405110444244241), we get a palindrome (547552888255745).

The spelling of 142442444011504 in words is "one hundred forty-two trillion, four hundred forty-two billion, four hundred forty-four million, eleven thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 343 364 392 637 686 728 784 1274 1372 1456 2548 2744 4459 5096 5488 6907 8918 10192 13814 17836 27628 35672 48349 55256 71344 89791 96698 110512 179582 193396 289063 338443 359164 386792 578126 628537 676886 718328 773584 1156252 1257074 1353772 1436656 2023441 2312504 2369101 2514148 2707544 3757819 4046882 4399759 4625008 4738202 5028296 5415088 7515638 8093764 8799518 9476404 10056592 14164087 15031276 16187528 17599036 18952808 26304733 28328174 30062552 30798313 32375056 35198072 37905616 52609466 56656348 60125104 61596626 70396144 99148609 105218932 113312696 123193252 184133131 198297218 210437864 226625392 246386504 368266262 396594436 420875728 492773008 736532524 793188872 1288931917 1473065048 1586377744 1996558141 2577863834 2946130096 3993116282 5155727668 7986232564 10311455336 13975906987 15972465128 20622910672 25955255833 27951813974 31944930256 51910511666 55903627948 97831348909 103821023332 111807255896 181686790831 195662697818 207642046664 223614511792 363373581662 391325395636 415284093328 684819442363 726747163324 782650791272 1271807535817 1369638884726 1453494326648 1565301582544 2543615071634 2739277769452 2906988653296 5087230143268 5478555538904 8902652750719 10174460286536 10957111077808 17805305501438 20348920573072 35610611002876 71221222005752 142442444011504