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214463932032 = 2737233468943
BaseRepresentation
bin1100011110111100001…
…0111110011010000000
3202111120100201120011210
43013233002332122000
512003210231311112
6242305014210120
721331421226030
oct3075702763200
9674510646153
10214463932032
1182a54331439
1235693653940
13172baa9523c
14a5470418c0
1558a3198b3c
hex31ef0be680

214463932032 has 128 divisors (see below), whose sum is σ = 679357992960. Its totient is φ = 58611244032.

The previous prime is 214463932013. The next prime is 214463932079. The reversal of 214463932032 is 230239364412.

214463932032 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 (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672648 + ... + 1796295.

It is an arithmetic number, because the mean of its divisors is an integer number (5307484320).

Almost surely, 2214463932032 is an apocalyptic number.

It is an amenable number.

214463932032 is an abundant number, since it is smaller than the sum of its proper divisors (464894060928).

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

214463932032 is a wasteful number, since it uses less digits than its factorization.

214463932032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468990 (or 3468978 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 214463932032 in words is "two hundred fourteen billion, four hundred sixty-three million, nine hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1932 2208 2576 2688 2944 3864 4416 5152 7728 8832 10304 15456 20608 30912 61824 3468943 6937886 10406829 13875772 20813658 24282601 27751544 41627316 48565202 55503088 72847803 79785689 83254632 97130404 111006176 145695606 159571378 166509264 194260808 222012352 239357067 291391212 319142756 333018528 388521616 444024704 478714134 558499823 582782424 638285512 666037056 777043232 957428268 1116999646 1165564848 1276571024 1332074112 1554086464 1675499469 1914856536 2233999292 2331129696 2553142048 3108172928 3350998938 3829713072 4467998584 4662259392 5106284096 6701997876 7659426144 8935997168 9324518784 10212568192 13403995752 15318852288 17871994336 26807991504 30637704576 35743988672 53615983008 71487977344 107231966016 214463932032