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35421025042320 = 2435332729443567
BaseRepresentation
bin10000000110111000110011…
…00111010111111110010000
311122102012212010201001212020
420003130121213113332100
514120314224402323240
6203200105543331440
710314041010100011
oct1003343147277620
9148365763631766
1035421025042320
1110316a77237445
123b809b9750b80
13169c25a9b3b98
148a655b3a7008
154165aeb3b0d0
hex2037199d7f90

35421025042320 has 80 divisors (see below), whose sum is σ = 109805755196160. Its totient is φ = 9445556995072.

The previous prime is 35421025042303. The next prime is 35421025042387. The reversal of 35421025042320 is 2324052012453.

35421025042320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×354210250423203 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79633177 + ... + 80076743.

It is an arithmetic number, because the mean of its divisors is an integer number (1372571939952).

Almost surely, 235421025042320 is an apocalyptic number.

35421025042320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35421025042320 is an abundant number, since it is smaller than the sum of its proper divisors (74384730153840).

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

35421025042320 is a wasteful number, since it uses less digits than its factorization.

35421025042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776312 (or 776306 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 35421025042320 its reverse (2324052012453), we get a palindrome (37745077054773).

The spelling of 35421025042320 in words is "thirty-five trillion, four hundred twenty-one billion, twenty-five million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 332729 443567 665458 887134 998187 1330701 1330916 1663645 1774268 1996374 2217835 2661402 2661832 3327290 3548536 3992748 4435670 4990935 5322804 5323664 6653505 6654580 7097072 7985496 8871340 9981870 10645608 13307010 13309160 15970992 17742680 19963740 21291216 26614020 26618320 35485360 39927480 53228040 79854960 106456080 147587604343 295175208686 442762813029 590350417372 737938021715 885525626058 1180700834744 1475876043430 1771051252116 2213814065145 2361401669488 2951752086860 3542102504232 4427628130290 5903504173720 7084205008464 8855256260580 11807008347440 17710512521160 35421025042320