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400052414500 = 225347108715661
BaseRepresentation
bin1011101001001001111…
…10110110100000100100
31102020121100012022011121
411310210332312200210
523023301404231000
6503440451343324
740621446262654
oct5644476664044
91366540168147
10400052414500
11144730182172
12656488b1b44
132b95646073b
1415511128364
15a6162edb1a
hex5d24fb6824

400052414500 has 96 divisors (see below), whose sum is σ = 893182058496. Its totient is φ = 156462192000.

The previous prime is 400052414491. The next prime is 400052414501. The reversal of 400052414500 is 5414250004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (400052414501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25536670 + ... + 25552330.

It is an arithmetic number, because the mean of its divisors is an integer number (9303979776).

Almost surely, 2400052414500 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 400052414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446591029248).

400052414500 is an abundant number, since it is smaller than the sum of its proper divisors (493129643996).

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

400052414500 is a wasteful number, since it uses less digits than its factorization.

400052414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16814 (or 16802 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 400052414500 its reverse (5414250004), we get a palindrome (405466664504).

The spelling of 400052414500 in words is "four hundred billion, fifty-two million, four hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 940 1087 1175 2174 2350 4348 4700 5435 5875 10870 11750 15661 21740 23500 27175 31322 51089 54350 62644 78305 102178 108700 135875 156610 204356 255445 271750 313220 391525 510890 543500 736067 783050 1021780 1277225 1472134 1566100 1957625 2554450 2944268 3680335 3915250 5108900 6386125 7360670 7830500 12772250 14721340 17023507 18401675 25544500 34047014 36803350 68094028 73606700 85117535 92008375 170235070 184016750 340470140 368033500 425587675 800104829 851175350 1600209658 1702350700 2127938375 3200419316 4000524145 4255876750 8001048290 8511753500 16002096580 20002620725 40005241450 80010482900 100013103625 200026207250 400052414500