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40403202012 = 22324721972579
BaseRepresentation
bin100101101000001101…
…111110111111011100
310212021202202022200100
4211220031332333130
51130221204431022
630321100501100
72630141356605
oct455015767734
9125252668610
1040403202012
1116153610748
1279b6b4a790
133a6b775434
141d53d66dac
1510b70ce1ac
hex96837efdc

40403202012 has 108 divisors (see below), whose sum is σ = 104919895080. Its totient is φ = 13109191872.

The previous prime is 40403201989. The next prime is 40403202017. The reversal of 40403202012 is 21020230404.

40403202012 is a `hidden beast` number, since 40 + 403 + 20 + 201 + 2 = 666.

It is a super-4 number, since 4×404032020124 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40403202017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15664939 + ... + 15667517.

It is an arithmetic number, because the mean of its divisors is an integer number (971480510).

Almost surely, 240403202012 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 40403202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52459947540).

40403202012 is an abundant number, since it is smaller than the sum of its proper divisors (64516693068).

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

40403202012 is a wasteful number, since it uses less digits than its factorization.

40403202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40403202012 its reverse (21020230404), we get a palindrome (61423432416).

The spelling of 40403202012 in words is "forty billion, four hundred three million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 197 282 394 423 564 591 788 846 1182 1692 1773 2209 2364 2579 3546 4418 5158 6627 7092 7737 8836 9259 10316 13254 15474 18518 19881 23211 26508 27777 30948 37036 39762 46422 55554 79524 83331 92844 111108 121213 166662 242426 333324 363639 435173 484852 508063 727278 870346 1016126 1090917 1305519 1454556 1524189 1740692 2032252 2181834 2611038 3048378 3916557 4363668 4572567 5222076 5697011 6096756 7833114 9145134 11394022 15666228 17091033 18290268 22788044 23878961 34182066 47757922 51273099 68364132 71636883 95515844 102546198 143273766 205092396 214910649 286547532 429821298 859642596 1122311167 2244622334 3366933501 4489244668 6733867002 10100800503 13467734004 20201601006 40403202012