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144132034103424 = 273371587392549
BaseRepresentation
bin100000110001011001011010…
…101100011000100010000000
3200220022212222021101122111000
4200301121122230120202000
5122342424401212302144
61230313201542052000
742234124111460223
oct4061313254304200
9626285867348430
10144132034103424
1141a1a063811a54
12141b990671a000
136256791938943
142784055d0b5ba
15119e311ba7769
hex83165ab18880

144132034103424 has 128 divisors (see below), whose sum is σ = 431381088720000. Its totient is φ = 47367335070720.

The previous prime is 144132034103363. The next prime is 144132034103441. The reversal of 144132034103424 is 424301430231441.

144132034103424 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 3 + 203 + 410 + 34 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 293450899 + ... + 293941650.

It is an arithmetic number, because the mean of its divisors is an integer number (3370164755625).

Almost surely, 2144132034103424 is an apocalyptic number.

It is an amenable number.

144132034103424 is an abundant number, since it is smaller than the sum of its proper divisors (287249054616576).

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

144132034103424 is an equidigital number, since it uses as much as digits as its factorization.

144132034103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587392643 (or 587392625 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144132034103424 its reverse (424301430231441), we get a palindrome (568433464334865).

The spelling of 144132034103424 in words is "one hundred forty-four trillion, one hundred thirty-two billion, thirty-four million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 284 288 384 426 432 568 576 639 852 864 1136 1152 1278 1704 1728 1917 2272 2556 3408 3456 3834 4544 5112 6816 7668 9088 10224 13632 15336 20448 27264 30672 40896 61344 81792 122688 245376 587392549 1174785098 1762177647 2349570196 3524355294 4699140392 5286532941 7048710588 9398280784 10573065882 14097421176 15859598823 18796561568 21146131764 28194842352 31719197646 37593123136 41704870979 42292263528 56389684704 63438395292 75186246272 83409741958 84584527056 112779369408 125114612937 126876790584 166819483916 169169054112 225558738816 250229225874 253753581168 333638967832 338338108224 375343838811 500458451748 507507162336 667277935664 676676216448 750687677622 1000916903496 1015014324672 1126031516433 1334555871328 1501375355244 2001833806992 2030028649344 2252063032866 2669111742656 3002750710488 4003667613984 4504126065732 5338223485312 6005501420976 8007335227968 9008252131464 12011002841952 16014670455936 18016504262928 24022005683904 36033008525856 48044011367808 72066017051712 144132034103424