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40810814394252 = 2237312837728109
BaseRepresentation
bin10010100011110000000100…
…00110000100111110001100
312100111110211211020220022120
421101320002012010332030
520322121021441104002
6222444121310412540
711411325011505000
oct1121700206047614
9170443754226276
1040810814394252
1112004850876281
1246b14ab201150
1319a059bb84196
14a1137abd8700
154ab8b2638cbc
hex251e02184f8c

40810814394252 has 96 divisors (see below), whose sum is σ = 111136404288000. Its totient is φ = 11651142920256.

The previous prime is 40810814394241. The next prime is 40810814394293. The reversal of 40810814394252 is 25249341801804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40810814394195 and 40810814394204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416774 + ... + 9144882.

It is an arithmetic number, because the mean of its divisors is an integer number (1157670878000).

Almost surely, 240810814394252 is an apocalyptic number.

40810814394252 is a gapful number since it is divisible by the number (42) 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 40810814394252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55568202144000).

40810814394252 is an abundant number, since it is smaller than the sum of its proper divisors (70325589893748).

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

40810814394252 is a wasteful number, since it uses less digits than its factorization.

40810814394252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729420 (or 7729404 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 40810814394252 in words is "forty trillion, eight hundred ten billion, eight hundred fourteen million, three hundred ninety-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1283 1372 2058 2566 3849 4116 5132 7698 8981 15396 17962 26943 35924 53886 62867 107772 125734 188601 251468 377202 440069 754404 880138 1320207 1760276 2640414 5280828 7728109 15456218 23184327 30912436 46368654 54096763 92737308 108193526 162290289 216387052 324580578 378677341 649161156 757354682 1136032023 1514709364 2272064046 2650741387 4544128092 5301482774 7952224161 9915163847 10602965548 15904448322 19830327694 29745491541 31808896644 39660655388 59490983082 69406146929 118981966164 138812293858 208218440787 277624587716 416436881574 485843028503 832873763148 971686057006 1457529085509 1943372114012 2915058171018 3400901199521 5830116342036 6801802399042 10202703598563 13603604798084 20405407197126 40810814394252