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40702563540 = 22325617275099
BaseRepresentation
bin100101111010000011…
…111101010011010100
310220001122001110111100
4211322003331103110
51131324324013130
630410513110100
72640435040002
oct457203752324
9126048043440
1040702563540
1116297599471
127a7b258330
133ab87ab732
141d81a11a72
1510d3513c60
hex97a0fd4d4

40702563540 has 144 divisors (see below), whose sum is σ = 125685705600. Its totient is φ = 10659306240.

The previous prime is 40702563527. The next prime is 40702563563. The reversal of 40702563540 is 4536520704.

40702563540 is a `hidden beast` number, since 40 + 7 + 0 + 2 + 563 + 54 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40702563495 and 40702563504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7979911 + ... + 7985009.

It is an arithmetic number, because the mean of its divisors is an integer number (872817400).

Almost surely, 240702563540 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 40702563540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62842852800).

40702563540 is an abundant number, since it is smaller than the sum of its proper divisors (84983142060).

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

40702563540 is a wasteful number, since it uses less digits than its factorization.

40702563540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 40702563540 in words is "forty billion, seven hundred two million, five hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 727 732 915 1098 1220 1454 1830 2181 2196 2745 2908 3635 3660 4362 5099 5490 6543 7270 8724 10198 10905 10980 13086 14540 15297 20396 21810 25495 26172 30594 32715 43620 44347 45891 50990 61188 65430 76485 88694 91782 101980 130860 133041 152970 177388 183564 221735 229455 266082 305940 311039 399123 443470 458910 532164 622078 665205 798246 886940 917820 933117 1244156 1330410 1555195 1596492 1866234 1995615 2660820 2799351 3110390 3706973 3732468 3991230 4665585 5598702 6220780 7413946 7982460 9331170 11120919 11197404 13996755 14827892 18534865 18662340 22241838 27993510 33362757 37069730 44483676 55604595 55987020 66725514 74139460 111209190 133451028 166813785 222418380 226125353 333627570 452250706 667255140 678376059 904501412 1130626765 1356752118 2035128177 2261253530 2713504236 3391880295 4070256354 4522507060 6783760590 8140512708 10175640885 13567521180 20351281770 40702563540