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140375133040 = 2459758730817
BaseRepresentation
bin1000001010111100000…
…0101000101101110000
3111102022222120121112111
42002233000220231300
54244442013224130
6144253142135104
713066424641432
oct2025700505560
9442288517474
10140375133040
115459511514a
1223257421494
1310311507acc
146b1939c652
1539b8b2202a
hex20af028b70

140375133040 has 80 divisors (see below), whose sum is σ = 330309296352. Its totient is φ = 55474716672.

The previous prime is 140375132987. The next prime is 140375133049. The reversal of 140375133040 is 40331573041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 140375132993 and 140375133011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140375133049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4539712 + ... + 4570528.

Almost surely, 2140375133040 is an apocalyptic number.

140375133040 is a gapful number since it is divisible by the number (10) 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 140375133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165154648176).

140375133040 is an abundant number, since it is smaller than the sum of its proper divisors (189934163312).

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

140375133040 is a wasteful number, since it uses less digits than its factorization.

140375133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31514 (or 31508 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 140375133040 in words is "one hundred forty billion, three hundred seventy-five million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 587 776 970 1174 1552 1940 2348 2935 3880 4696 5870 7760 9392 11740 23480 30817 46960 56939 61634 113878 123268 154085 227756 246536 284695 308170 455512 493072 569390 616340 911024 1138780 1232680 2277560 2465360 2989249 4555120 5978498 11956996 14946245 18089579 23913992 29892490 36179158 47827984 59784980 72358316 90447895 119569960 144716632 180895790 239139920 289433264 361791580 723583160 1447166320 1754689163 3509378326 7018756652 8773445815 14037513304 17546891630 28075026608 35093783260 70187566520 140375133040