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400011042304 = 2917236732969
BaseRepresentation
bin1011101001000101000…
…01000001111000000000
31102020111110100101012001
411310202201001320000
523023210311323204
6503432412513344
740620434521216
oct5644241017000
91366443311161
10400011042304
11144709894675
1265636a7b854
132b94aa06453
1415509838cb6
15a61287a4a4
hex5d22841e00

400011042304 has 160 divisors (see below), whose sum is σ = 884658646080. Its totient is φ = 179728023552.

The previous prime is 400011042289. The next prime is 400011042313. The reversal of 400011042304 is 403240110004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134727732 + ... + 134730700.

It is an arithmetic number, because the mean of its divisors is an integer number (5529116538).

Almost surely, 2400011042304 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 400011042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442329323040).

400011042304 is an abundant number, since it is smaller than the sum of its proper divisors (484647603776).

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

400011042304 is a wasteful number, since it uses less digits than its factorization.

400011042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 400011042304 its reverse (403240110004), we get a palindrome (803251152308).

The spelling of 400011042304 in words is "four hundred billion, eleven million, forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 512 544 673 736 782 1088 1346 1472 1564 2176 2692 2944 2969 3128 4352 5384 5888 5938 6256 8704 10768 11441 11776 11876 12512 15479 21536 22882 23752 25024 30958 43072 45764 47504 50048 50473 61916 68287 86144 91528 95008 100096 100946 123832 136574 172288 183056 190016 200192 201892 247664 263143 273148 344576 366112 380032 403784 495328 526286 546296 732224 760064 807568 990656 1052572 1092592 1160879 1464448 1520128 1615136 1981312 1998137 2105144 2185184 2321758 2928896 3230272 3962624 3996274 4210288 4370368 4643516 5857792 6460544 7925248 7992548 8420576 8740736 9287032 12921088 15985096 16841152 17481472 18574064 25842176 31970192 33682304 33968329 34962944 37148128 45957151 63940384 67364608 67936658 74296256 91914302 127880768 134729216 135873316 148592512 183828604 255761536 271746632 297185024 367657208 511523072 543493264 594370048 735314416 781271567 1023046144 1086986528 1470628832 1562543134 2173973056 2941257664 3125086268 4347946112 5882515328 6250172536 8695892224 11765030656 12500345072 17391784448 23530061312 25000690144 50001380288 100002760576 200005521152 400011042304