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412040301012 = 2232157173421397
BaseRepresentation
bin1011111111011111000…
…01000000100111010100
31110101112210112000221100
411333233201000213110
523222324304113022
6513142205350100
741524512525264
oct5775741004724
91411483460840
10412040301012
1114982200a79a
1267a33568330
132cb16c43702
1415d2b2b17a4
15aab897a1ac
hex5fef8409d4

412040301012 has 72 divisors (see below), whose sum is σ = 1054241717256. Its totient is φ = 135682769664.

The previous prime is 412040301007. The next prime is 412040301019. The reversal of 412040301012 is 210103040214.

It can be written as a sum of positive squares in 4 ways, for example, as 251716937796 + 160323363216 = 501714^2 + 400404^2 .

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 (412040301019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767098 + ... + 1188494.

It is an arithmetic number, because the mean of its divisors is an integer number (14642246073).

Almost surely, 2412040301012 is an apocalyptic number.

It is an amenable number.

412040301012 is an abundant number, since it is smaller than the sum of its proper divisors (642201416244).

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

412040301012 is a wasteful number, since it uses less digits than its factorization.

412040301012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421737 (or 421732 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 412040301012 its reverse (210103040214), we get a palindrome (622143341226).

The spelling of 412040301012 in words is "four hundred twelve billion, forty million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 157 173 314 346 471 519 628 692 942 1038 1413 1557 1884 2076 2826 3114 5652 6228 27161 54322 81483 108644 162966 244449 325932 421397 488898 842794 977796 1264191 1685588 2528382 3792573 5056764 7585146 15170292 66159329 72901681 132318658 145803362 198477987 218705043 264637316 291606724 396955974 437410086 595433961 656115129 793911948 874820172 1190867922 1312230258 2381735844 2624460516 11445563917 22891127834 34336691751 45782255668 68673383502 103010075253 137346767004 206020150506 412040301012