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400123123211044 = 2217113226132302757
BaseRepresentation
bin101101011111010001110110…
…0101000000001101100100100
31221110201101201102022021202101
41122332203230220001230210
5404421104124020223134
63534554005240421444
7150164640665644312
oct13276435450015444
91843641642267671
10400123123211044
11106545299956472
1238a62660477884
13142355aa7c8c9c
1470b40c36ab0b2
15313d1c23b4e14
hex16be8eca01b24

400123123211044 has 48 divisors (see below), whose sum is σ = 747999115033968. Its totient is φ = 186618588520448.

The previous prime is 400123123211039. The next prime is 400123123211089. The reversal of 400123123211044 is 440112321321004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 117303629262400 + 282819493948644 = 10830680^2 + 16817238^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172606914 + ... + 174909670.

It is an arithmetic number, because the mean of its divisors is an integer number (15583314896541).

Almost surely, 2400123123211044 is an apocalyptic number.

It is an amenable number.

400123123211044 is a deficient number, since it is larger than the sum of its proper divisors (347875991822924).

400123123211044 is a wasteful number, since it uses less digits than its factorization.

400123123211044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325504 (or 2325502 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 400123123211044 its reverse (440112321321004), we get a palindrome (840235444532048).

The spelling of 400123123211044 in words is "four hundred trillion, one hundred twenty-three billion, one hundred twenty-three million, two hundred eleven thousand, forty-four".

Divisors: 1 2 4 17 34 68 113 226 452 1921 3842 7684 22613 45226 90452 384421 768842 1537684 2302757 2555269 4605514 5110538 9211028 10221076 39146869 43439573 78293738 86879146 156587476 173758292 260211541 520423082 1040846164 4423596197 8847192394 17694384788 52072244041 104144488082 208288976164 885228148697 1770456297394 3540912594788 5884163576633 11768327153266 23536654306532 100030780802761 200061561605522 400123123211044