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144573037136 = 241119115972693
BaseRepresentation
bin1000011010100100111…
…0010111101001010000
3111211011112200020100222
42012221032113221100
54332041144142021
6150225501532212
713305440353043
oct2065116275120
9454145606328
10144573037136
115634978a680
1224029274068
131083012b828
146dd6b0ac5a
153b6243a6ab
hex21a9397a50

144573037136 has 80 divisors (see below), whose sum is σ = 307481177088. Its totient is φ = 65305766400.

The previous prime is 144573037121. The next prime is 144573037157. The reversal of 144573037136 is 631730375441.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 53683406 + ... + 53686098.

Almost surely, 2144573037136 is an apocalyptic number.

144573037136 is a gapful number since it is divisible by the number (16) 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 144573037136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740588544).

144573037136 is an abundant number, since it is smaller than the sum of its proper divisors (162908139952).

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

144573037136 is a wasteful number, since it uses less digits than its factorization.

144573037136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 144573037136 in words is "one hundred forty-four billion, five hundred seventy-three million, thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 191 382 764 1528 1597 2101 2693 3056 3194 4202 5386 6388 8404 10772 12776 16808 17567 21544 25552 29623 33616 35134 43088 59246 70268 118492 140536 236984 281072 305027 473968 514363 610054 1028726 1220108 2057452 2440216 3355297 4114904 4300721 4880432 5657993 6710594 8229808 8601442 11315986 13421188 17202884 22631972 26842376 34405768 45263944 47307931 53684752 68811536 90527888 94615862 189231724 378463448 756926896 821437711 1642875422 3285750844 6571501688 9035814821 13143003376 18071629642 36143259284 72286518568 144573037136