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400121130464 = 25113103336629
BaseRepresentation
bin1011101001010010001…
…00111110110111100000
31102020210010111102202022
411310221010332313200
523023422002133324
6503451344241012
740623242331026
oct5645104766740
91366703442668
10400121130464
11144765a46520
1265667910168
132b96776c983
141551a2d4716
15a61c37405e
hex5d2913ede0

400121130464 has 48 divisors (see below), whose sum is σ = 859402217520. Its totient is φ = 181862415360.

The previous prime is 400121130463. The next prime is 400121130481. The reversal of 400121130464 is 464031121004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400121130463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10905302 + ... + 10941930.

It is an arithmetic number, because the mean of its divisors is an integer number (17904212865).

Almost surely, 2400121130464 is an apocalyptic number.

400121130464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400121130464 is an abundant number, since it is smaller than the sum of its proper divisors (459281087056).

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

400121130464 is a wasteful number, since it uses less digits than its factorization.

400121130464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67683 (or 67675 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 400121130464 its reverse (464031121004), we get a palindrome (864152251468).

The spelling of 400121130464 in words is "four hundred billion, one hundred twenty-one million, one hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 31033 36629 62066 73258 124132 146516 248264 293032 341363 402919 496528 586064 682726 805838 993056 1172128 1365452 1611676 2730904 3223352 5461808 6446704 10923616 12893408 1136707757 2273415514 4546831028 9093662056 12503785327 18187324112 25007570654 36374648224 50015141308 100030282616 200060565232 400121130464