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140045042032 = 2473721396571
BaseRepresentation
bin1000001001101101010…
…1011100000101110000
3111101110222110020210121
42002123111130011300
54243303012321112
6144200311140024
713055306134120
oct2023325340560
9441428406717
10140045042032
1154435858965
1223184974614
131028b00279c
146ac75d4c80
153999b6c407
hex209b55c170

140045042032 has 120 divisors (see below), whose sum is σ = 321049034880. Its totient is φ = 57968213760.

The previous prime is 140045042017. The next prime is 140045042077. The reversal of 140045042032 is 230240540041.

It is a happy number.

It is a super-2 number, since 2×1400450420322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140045041988 and 140045042006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21309307 + ... + 21315877.

It is an arithmetic number, because the mean of its divisors is an integer number (2675408624).

Almost surely, 2140045042032 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 140045042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160524517440).

140045042032 is an abundant number, since it is smaller than the sum of its proper divisors (181003992848).

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

140045042032 is a wasteful number, since it uses less digits than its factorization.

140045042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6799 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 140045042032 its reverse (230240540041), we get a palindrome (370285582073).

The spelling of 140045042032 in words is "one hundred forty billion, forty-five million, forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 139 148 259 278 296 518 556 592 973 1036 1112 1369 1946 2072 2224 2738 3892 4144 5143 5476 6571 7784 9583 10286 10952 13142 15568 19166 20572 21904 26284 36001 38332 41144 45997 52568 72002 76664 82288 91994 105136 144004 153328 183988 190291 243127 288008 367976 380582 486254 576016 735952 761164 913369 972508 1332037 1522328 1701889 1826738 1945016 2664074 3044656 3403778 3653476 3890032 5328148 6393583 6807556 7306952 8995699 10656296 12787166 13615112 14613904 17991398 21312592 25574332 27230224 33794653 35982796 51148664 62969893 67589306 71965592 102297328 125939786 135178612 143931184 236562571 251879572 270357224 473125142 503759144 540714448 946250284 1007518288 1250402161 1892500568 2500804322 3785001136 5001608644 8752815127 10003217288 17505630254 20006434576 35011260508 70022521016 140045042032