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40403412036 = 22341328592
BaseRepresentation
bin100101101000001110…
…110010010001000100
310212021210010222210000
4211220032302101010
51130221233141121
630321105201300
72630143223121
oct455016622104
9125253128700
1040403412036
1116153744519
1279b7030230
133a6b819c00
141d53dbd748
1510b7121526
hex9683b2444

40403412036 has 135 divisors (see below), whose sum is σ = 114505593741. Its totient is φ = 12417346656.

The previous prime is 40403411963. The next prime is 40403412041. The reversal of 40403412036 is 63021430404.

The square root of 40403412036 is 201006.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5976836100 + 34426575936 = 77310^2 + 185544^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 47034975 + ... + 47035833.

Almost surely, 240403412036 is an apocalyptic number.

40403412036 is the 201006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40403412036

40403412036 is an abundant number, since it is smaller than the sum of its proper divisors (74102181705).

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

40403412036 is an equidigital number, since it uses as much as digits as its factorization.

40403412036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 40403412036 in words is "forty billion, four hundred three million, four hundred twelve thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 859 1014 1053 1404 1521 1718 2028 2106 2577 3042 3436 4212 4563 5154 6084 7731 9126 10308 11167 13689 15462 18252 22334 23193 27378 30924 33501 44668 46386 54756 67002 69579 92772 100503 134004 139158 145171 201006 278316 290342 301509 402012 435513 580684 603018 737881 871026 904527 1206036 1306539 1475762 1742052 1809054 2213643 2613078 2951524 3618108 3919617 4427286 5226156 6640929 7839234 8854572 9592453 11758851 13281858 15678468 19184906 19922787 23517702 26563716 28777359 38369812 39845574 47035404 57554718 59768361 79691148 86332077 115109436 119536722 124701889 172664154 239073444 249403778 258996231 345328308 374105667 498807556 517992462 748211334 776988693 1035984924 1122317001 1496422668 1553977386 2244634002 3107954772 3366951003 4489268004 6733902006 10100853009 13467804012 20201706018 40403412036