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214858817124 = 223719401335719
BaseRepresentation
bin1100100000011010010…
…1010101111001100100
3202112120212202210200120
43020012211111321210
512010012324121444
6242412122041540
721344254545360
oct3100645257144
9675525683616
10214858817124
1183137223456
12357839492b0
1317351835663
14a5836742a0
1558c7b9bb19
hex3206955e64

214858817124 has 96 divisors (see below), whose sum is σ = 604618291200. Its totient is φ = 58012070400.

The previous prime is 214858817119. The next prime is 214858817137. The reversal of 214858817124 is 421718858412.

It is a super-3 number, since 3×2148588171243 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472137 + ... + 807855.

It is an arithmetic number, because the mean of its divisors is an integer number (6298107200).

Almost surely, 2214858817124 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 214858817124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302309145600).

214858817124 is an abundant number, since it is smaller than the sum of its proper divisors (389759474076).

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

214858817124 is a wasteful number, since it uses less digits than its factorization.

214858817124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336153 (or 336151 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 51.

The spelling of 214858817124 in words is "two hundred fourteen billion, eight hundred fifty-eight million, eight hundred seventeen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 401 532 798 802 1203 1596 1604 2406 2807 4812 5614 7619 8421 11228 15238 16842 22857 30476 33684 45714 53333 91428 106666 159999 213332 319998 335719 639996 671438 1007157 1342876 2014314 2350033 4028628 4700066 6378661 7050099 9400132 12757322 14100198 19135983 25514644 28200396 38271966 44650627 76543932 89301254 133951881 134623319 178602508 267903762 269246638 403869957 535807524 538493276 807739914 942363233 1615479828 1884726466 2557843061 2827089699 3769452932 5115686122 5654179398 7673529183 10231372244 11308358796 15347058366 17904901427 30694116732 35809802854 53714704281 71619605708 107429408562 214858817124