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3214346543628 = 2231125979474949
BaseRepresentation
bin101110110001100101111…
…110111110001000001100
3102101021210100002220000020
4232301211332332020030
5410130440203344003
610500352253502140
7451141334546643
oct56614576761014
912337710086006
103214346543628
11102a21890a500
1243ab661a1950
131a415b1a3b3c
14b180a4dc35a
155892c450d53
hex2ec65fbe20c

3214346543628 has 144 divisors (see below), whose sum is σ = 8489826240000. Its totient is φ = 945412490880.

The previous prime is 3214346543593. The next prime is 3214346543641. The reversal of 3214346543628 is 8263456434123.

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 47 ways as a sum of consecutive naturals, for example, 6530298 + ... + 7005246.

Almost surely, 23214346543628 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 3214346543628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244913120000).

3214346543628 is an abundant number, since it is smaller than the sum of its proper divisors (5275479696372).

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

3214346543628 is a wasteful number, since it uses less digits than its factorization.

3214346543628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475116 (or 475103 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 51.

The spelling of 3214346543628 in words is "three trillion, two hundred fourteen billion, three hundred forty-six million, five hundred forty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 79 118 121 132 158 177 236 237 242 316 354 363 474 484 649 708 726 869 948 1298 1452 1738 1947 2596 2607 3476 3894 4661 5214 7139 7788 9322 9559 10428 13983 14278 18644 19118 21417 27966 28556 28677 38236 42834 51271 55932 57354 85668 102542 114708 153813 205084 307626 474949 563981 615252 949898 1127962 1424847 1691943 1899796 2255924 2849694 3383886 5224439 5699388 6767772 10448878 15673317 20897756 28021991 31346634 37520971 56043982 57468829 62693268 75041942 84065973 112087964 112562913 114937658 150083884 168131946 172406487 225125826 229875316 308241901 336263892 344812974 412730681 450251652 616483802 689625948 825461362 924725703 1232967604 1238192043 1650922724 1849451406 2213737289 2476384086 3390660911 3698902812 4427474578 4540037491 4952768172 6641211867 6781321822 8854949156 9080074982 10171982733 13282423734 13562643644 13620112473 18160149964 20343965466 24351110179 26564847468 27240224946 40687930932 48702220358 54480449892 73053330537 97404440716 146106661074 267862211969 292213322148 535724423938 803586635907 1071448847876 1607173271814 3214346543628