Search a number
-
+
10022000400440 = 2357172105462269
BaseRepresentation
bin1001000111010110110111…
…0001100001100000111000
31022111002112102212101121022
42101311231301201200320
52303200024100303230
633152013214002012
72053031340561410
oct221655561414070
938432472771538
1010022000400440
113214340a53546
12115a3b77a6308
135790bc0ba852
142690d2d75640
15125a666001e5
hex91d6dc61838

10022000400440 has 64 divisors (see below), whose sum is σ = 27286791019200. Its totient is φ = 3233990043648.

The previous prime is 10022000400439. The next prime is 10022000400509. The reversal of 10022000400440 is 4400400022001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052726375 + ... + 1052735894.

It is an arithmetic number, because the mean of its divisors is an integer number (426356109675).

Almost surely, 210022000400440 is an apocalyptic number.

10022000400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022000400440 is an abundant number, since it is smaller than the sum of its proper divisors (17264790618760).

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

10022000400440 is a wasteful number, since it uses less digits than its factorization.

10022000400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105462304 (or 2105462300 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10022000400440 its reverse (4400400022001), we get a palindrome (14422400422441).

The spelling of 10022000400440 in words is "ten trillion, twenty-two billion, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 2105462269 4210924538 8421849076 10527311345 14738235883 16843698152 21054622690 29476471766 35792858573 42109245380 58952943532 71585717146 73691179415 84218490760 117905887064 143171434292 147382358830 178964292865 250550010011 286342868584 294764717660 357928585730 501100020022 589529435320 715857171460 1002200040044 1252750050055 1431714342920 2004400080088 2505500100110 5011000200220 10022000400440