Search a number
-
+
400004074008 = 233371124050269
BaseRepresentation
bin1011101001000100001…
…10011100101000011000
31102020110222020100111000
411310202012130220120
523023202020332013
6503432003305000
740620321346410
oct5644206345030
91366428210430
10400004074008
11144705965250
126563467b160
132b9494367b6
1415508943640
15a611e50973
hex5d2219ca18

400004074008 has 128 divisors (see below), whose sum is σ = 1385295552000. Its totient is φ = 103897157760.

The previous prime is 400004073977. The next prime is 400004074009. The reversal of 400004074008 is 800470400004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400004074009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12008503 + ... + 12041766.

It is an arithmetic number, because the mean of its divisors is an integer number (10822621500).

Almost surely, 2400004074008 is an apocalyptic number.

It is an amenable number.

400004074008 is an abundant number, since it is smaller than the sum of its proper divisors (985291477992).

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

400004074008 is a wasteful number, since it uses less digits than its factorization.

400004074008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24050302 (or 24050292 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 400004074008 in words is "four hundred billion, four million, seventy-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 24050269 48100538 72150807 96201076 144301614 168351883 192402152 216452421 264552959 288603228 336703766 432904842 505055649 529105918 577206456 649357263 673407532 793658877 865809684 1010111298 1058211836 1298714526 1346815064 1515166947 1587317754 1731619368 1851870713 2020222596 2116423672 2380976631 2597429052 3030333894 3174635508 3703741426 4040445192 4545500841 4761953262 5194858104 5555612139 6060667788 6349271016 7142929893 7407482852 9091001682 9523906524 11111224278 12121335576 14285859786 14814965704 16666836417 18182003364 19047813048 22222448556 28571719572 33333672834 36364006728 44444897112 50000509251 57143439144 66667345668 100001018502 133334691336 200002037004 400004074008