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140150901816 = 233212781118899
BaseRepresentation
bin1000001010000110100…
…1010000110000111000
3111101202100122111010100
42002201221100300320
54244012112324231
6144215012115400
713061033003202
oct2024151206070
9441670574110
10140150901816
115448a591992
12231b4305b60
13102a6c18503
146ad76ad772
1539a40cd1e6
hex20a1a50c38

140150901816 has 96 divisors (see below), whose sum is σ = 383056128000. Its totient is φ = 46289517120.

The previous prime is 140150901811. The next prime is 140150901841. The reversal of 140150901816 is 618109051041.

It is a happy number.

140150901816 is a `hidden beast` number, since 140 + 1 + 509 + 0 + 1 + 8 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140150901811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7406335 + ... + 7425233.

It is an arithmetic number, because the mean of its divisors is an integer number (3990168000).

Almost surely, 2140150901816 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 140150901816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191528064000).

140150901816 is an abundant number, since it is smaller than the sum of its proper divisors (242905226184).

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

140150901816 is a wasteful number, since it uses less digits than its factorization.

140150901816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19849 (or 19842 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Adding to 140150901816 its reverse (618109051041), we get a palindrome (758259952857).

The spelling of 140150901816 in words is "one hundred forty billion, one hundred fifty million, nine hundred one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 811 1016 1143 1524 1622 2286 2433 3048 3244 4572 4866 6488 7299 9144 9732 14598 18899 19464 29196 37798 56697 58392 75596 102997 113394 151192 170091 205994 226788 308991 340182 411988 453576 617982 680364 823976 926973 1235964 1360728 1853946 2400173 2471928 3707892 4800346 7200519 7415784 9600692 14401038 15327089 19201384 21601557 28802076 30654178 43203114 45981267 57604152 61308356 86406228 91962534 122616712 137943801 172812456 183925068 275887602 367850136 551775204 1103550408 1946540303 3893080606 5839620909 7786161212 11679241818 15572322424 17518862727 23358483636 35037725454 46716967272 70075450908 140150901816