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1124027620144 = 2411213345712919
BaseRepresentation
bin10000010110110101010…
…001000101101100110000
310222110022102021100010221
4100112311101011230300
5121404002032321034
62220212100502424
7144131311062142
oct20266521055460
93873272240127
101124027620144
113a3774319700
12161a166aaa14
1381cc2a252a0
143c590652c92
151e38a0eabb4
hex105b5445b30

1124027620144 has 120 divisors (see below), whose sum is σ = 2578866573920. Its totient is φ = 471447060480.

The previous prime is 1124027620123. The next prime is 1124027620181. The reversal of 1124027620144 is 4410267204211.

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 23 ways as a sum of consecutive naturals, for example, 86999317 + ... + 87012235.

Almost surely, 21124027620144 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 1124027620144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289433286960).

1124027620144 is an abundant number, since it is smaller than the sum of its proper divisors (1454838953776).

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

1124027620144 is a wasteful number, since it uses less digits than its factorization.

1124027620144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16419 (or 16402 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 1124027620144 in words is "one trillion, one hundred twenty-four billion, twenty-seven million, six hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1144 1573 1936 2288 3146 3457 6292 6914 12584 12919 13828 25168 25838 27656 38027 44941 51676 55312 76054 89882 103352 142109 152108 167947 179764 206704 284218 304216 335894 359528 418297 494351 568436 608432 671788 719056 836594 988702 1136872 1343576 1563199 1673188 1847417 1977404 2273744 2687152 3126398 3346376 3694834 3954808 5437861 6252796 6692752 7389668 7909616 10875722 12505592 14779336 20321587 21751444 25011184 29558672 40643174 43502888 44660983 81286348 87005776 89321966 162572696 178643932 325145392 357287864 491270813 580592779 714575728 982541626 1161185558 1965083252 2322371116 3930166504 4644742232 5403978943 6386520569 7860333008 9289484464 10807957886 12773041138 21615915772 25546082276 43231831544 51092164552 70251726259 86463663088 102184329104 140503452518 281006905036 562013810072 1124027620144