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214217581424 = 247211231079987
BaseRepresentation
bin1100011110000001011…
…1001110001101110000
3202110221012011122200012
43013200113032031300
512002204200101144
6242224334114052
721322340253500
oct3074027161560
9673835148605
10214217581424
11829382705a0
123562504b928
131727ba2c952
14a522435a00
15588b735e9e
hex31e05ce370

214217581424 has 120 divisors (see below), whose sum is σ = 549601573248. Its totient is φ = 79832565120.

The previous prime is 214217581363. The next prime is 214217581429. The reversal of 214217581424 is 424185712412.

It is a super-2 number, since 2×2142175814242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214217581429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341642 + ... + 738345.

Almost surely, 2214217581424 is an apocalyptic number.

It is an amenable number.

214217581424 is an abundant number, since it is smaller than the sum of its proper divisors (335383991824).

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

214217581424 is a wasteful number, since it uses less digits than its factorization.

214217581424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080043 (or 1080030 counting only the distinct ones).

The product of its digits is 143360, while the sum is 41.

The spelling of 214217581424 in words is "two hundred fourteen billion, two hundred seventeen million, five hundred eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 49 56 77 88 92 98 112 154 161 176 184 196 253 308 322 368 392 506 539 616 644 784 1012 1078 1127 1232 1288 1771 2024 2156 2254 2576 3542 4048 4312 4508 7084 8624 9016 12397 14168 18032 24794 28336 49588 99176 198352 1079987 2159974 4319948 7559909 8639896 11879857 15119818 17279792 23759714 24839701 30239636 47519428 49679402 52919363 60479272 83158999 95038856 99358804 105838726 120958544 166317998 173877907 190077712 198717608 211677452 273236711 332635996 347755814 397435216 423354904 546473422 582112993 665271992 695511628 846709808 1092946844 1164225986 1217145349 1330543984 1391023256 1912656977 2185893688 2328451972 2434290698 2782046512 3825313954 4371787376 4656903944 4868581396 7650627908 9313807888 9737162792 13388598839 15301255816 19474325584 26777197678 30602511632 53554395356 107108790712 214217581424