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400011001324 = 2211219389111821
BaseRepresentation
bin1011101001000101000…
…00110111110111101100
31102020111110021021222021
411310202200313313230
523023210304020244
6503432411555524
740620434260564
oct5644240676754
91366443237867
10400011001324
11144709866900
1265636a5bba4
132b94a9c08bc
1415509827da4
15a61286d284
hex5d22837dec

400011001324 has 72 divisors (see below), whose sum is σ = 812028999600. Its totient is φ = 171809193600.

The previous prime is 400011001279. The next prime is 400011001333. The reversal of 400011001324 is 423100110004.

It is a junction number, because it is equal to n+sod(n) for n = 400011001298 and 400011001307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3521334 + ... + 3633154.

It is an arithmetic number, because the mean of its divisors is an integer number (11278180550).

Almost surely, 2400011001324 is an apocalyptic number.

400011001324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400011001324 is an abundant number, since it is smaller than the sum of its proper divisors (412017998276).

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

400011001324 is a wasteful number, since it uses less digits than its factorization.

400011001324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112255 (or 112242 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 400011001324 its reverse (423100110004), we get a palindrome (823111111328).

The spelling of 400011001324 in words is "four hundred billion, eleven million, one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 389 418 484 778 836 1556 2299 4279 4598 7391 8558 9196 14782 17116 29564 47069 81301 94138 111821 162602 188276 223642 325204 447284 894311 1230031 1788622 2124599 2460062 3577244 4249198 4920124 8498396 13530341 23370589 27060682 43498369 46741178 54121364 86996738 93482356 173993476 257076479 478482059 514152958 826469011 956964118 1028305916 1652938022 1913928236 3305876044 5263302649 9091159121 10526605298 18182318242 21053210596 36364636484 100002750331 200005500662 400011001324