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144132241121024 = 281398334404451
BaseRepresentation
bin100000110001011001100111…
…000010000101111100000000
3200220022220111200221020020112
4200301121213002011330000
5122342430312211333044
61230313234255130452
742234132204213122
oct4061314702057400
9626286450836215
10144132241121024
1141a1a15a658382
12141b9963b13a28
1362567c57ac170
1427840755d9212
15119e324e4b09e
hex831667085f00

144132241121024 has 72 divisors (see below), whose sum is σ = 309863927445072. Its totient is φ = 66515792486400.

The previous prime is 144132241121021. The next prime is 144132241121083. The reversal of 144132241121024 is 420121142231441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144132241121021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30521999 + ... + 34926449.

Almost surely, 2144132241121024 is an apocalyptic number.

It is an amenable number.

144132241121024 is an abundant number, since it is smaller than the sum of its proper divisors (165731686324048).

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

144132241121024 is an equidigital number, since it uses as much as digits as its factorization.

144132241121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414313 (or 4414299 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 144132241121024 its reverse (420121142231441), we get a palindrome (564253383352465).

The spelling of 144132241121024 in words is "one hundred forty-four trillion, one hundred thirty-two billion, two hundred forty-one million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 9833 19666 39332 78664 127829 157328 255658 314656 511316 629312 1022632 1258624 2045264 2517248 4090528 4404451 8181056 8808902 16362112 17617804 32724224 35235608 57257863 70471216 114515726 140942432 229031452 281884864 458062904 563769728 916125808 1127539456 1832251616 3664503232 7329006464 14658012928 43308966683 86617933366 173235866732 346471733464 563016566879 692943466928 1126033133758 1385886933856 2252066267516 2771773867712 4504132535032 5543547735424 9008265070064 11087095470848 18016530140128 36033060280256 72066120560512 144132241121024