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40400211220 = 22531423115401
BaseRepresentation
bin100101101000000010…
…100100110100010100
310212021120010101002021
4211220002210310110
51130214423224340
630320512422524
72630104062235
oct455002446424
9125246111067
1040400211220
1116151958716
1279b5b47a44
133a6ac69035
141d537c908c
1510b6bdce4a
hex9680a4d14

40400211220 has 48 divisors (see below), whose sum is σ = 87603618816. Its totient is φ = 15634080000.

The previous prime is 40400211211. The next prime is 40400211329. The reversal of 40400211220 is 2211200404.

It is a super-2 number, since 2×404002112202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40400211194 and 40400211203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2615520 + ... + 2630920.

It is an arithmetic number, because the mean of its divisors is an integer number (1825075392).

Almost surely, 240400211220 is an apocalyptic number.

It is an amenable number.

40400211220 is an abundant number, since it is smaller than the sum of its proper divisors (47203407596).

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

40400211220 is a wasteful number, since it uses less digits than its factorization.

40400211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19672 (or 19670 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 40400211220 its reverse (2211200404), we get a palindrome (42611411624).

The spelling of 40400211220 in words is "forty billion, four hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 4231 8462 15401 16924 21155 30802 42310 61604 77005 84620 131161 154010 262322 308020 477431 524644 655805 954862 1311610 1909724 2387155 2623220 4774310 9548620 65161631 130323262 260646524 325808155 651616310 1303232620 2020010561 4040021122 8080042244 10100052805 20200105610 40400211220