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35040305004032 = 29717912201479
BaseRepresentation
bin1111111011110011101001…
…11011101011111000000000
311121001211011002210020021102
413331321310323223320000
514043100021040112112
6202305143251513532
710244402265132626
oct775716473537000
9147054132706242
1035040305004032
111018a5677486a9
123b1b0672b88a8
131672395816413
14891d61a17516
1540b72ab7dbc2
hex1fde74eebe00

35040305004032 has 80 divisors (see below), whose sum is σ = 71896976870400. Its totient is φ = 17054737889280.

The previous prime is 35040305004013. The next prime is 35040305004041. The reversal of 35040305004032 is 23040050304053.

It is a junction number, because it is equal to n+sod(n) for n = 35040305003986 and 35040305004004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3228932 + ... + 8972547.

It is an arithmetic number, because the mean of its divisors is an integer number (898712210880).

Almost surely, 235040305004032 is an apocalyptic number.

35040305004032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35040305004032 is an abundant number, since it is smaller than the sum of its proper divisors (36856671866368).

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

35040305004032 is an equidigital number, since it uses as much as digits as its factorization.

35040305004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12201647 (or 12201631 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

Adding to 35040305004032 its reverse (23040050304053), we get a palindrome (58080355308085).

The spelling of 35040305004032 in words is "thirty-five trillion, forty billion, three hundred five million, four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 71 79 128 142 158 256 284 316 512 568 632 1136 1264 2272 2528 4544 5056 5609 9088 10112 11218 18176 20224 22436 36352 40448 44872 89744 179488 358976 717952 1435904 2871808 12201479 24402958 48805916 97611832 195223664 390447328 780894656 866305009 963916841 1561789312 1732610018 1927833682 3123578624 3465220036 3855667364 6247157248 6930440072 7711334728 13860880144 15422669456 27721760288 30845338912 55443520576 61690677824 68438095711 110887041152 123381355648 136876191422 221774082304 246762711296 273752382844 443548164608 493525422592 547504765688 1095009531376 2190019062752 4380038125504 8760076251008 17520152502016 35040305004032