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4331545114000 = 2453131091528421
BaseRepresentation
bin111111000010000100001…
…101010011010110010000
3120100002110211022112222211
4333002010031103112100
51031432001022122000
613113515004241504
7624641503660036
oct77020415232620
916302424275884
104331545114000
11141aaa8325a15
1259b595840294
13255603148b70
1410d90dbb4556
1577a17c4e7ba
hex3f084353590

4331545114000 has 160 divisors (see below), whose sum is σ = 11382831139680. Its totient is φ = 1584665856000.

The previous prime is 4331545113991. The next prime is 4331545114037. The reversal of 4331545114000 is 4115451334.

It can be written as a sum of positive squares in 16 ways, for example, as 3957059863696 + 374485250304 = 1989236^2 + 611952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2069790 + ... + 3598210.

It is an arithmetic number, because the mean of its divisors is an integer number (71142694623).

Almost surely, 24331545114000 is an apocalyptic number.

4331545114000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331545114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691415569840).

4331545114000 is an abundant number, since it is smaller than the sum of its proper divisors (7051286025680).

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

4331545114000 is a wasteful number, since it uses less digits than its factorization.

4331545114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528566 (or 1528550 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 4331545114000 in words is "four trillion, three hundred thirty-one billion, five hundred forty-five million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 109 125 130 200 208 218 250 260 325 400 436 500 520 545 650 872 1000 1040 1090 1300 1417 1625 1744 2000 2180 2600 2725 2834 3250 4360 5200 5450 5668 6500 7085 8720 10900 11336 13000 13625 14170 21800 22672 26000 27250 28340 35425 43600 54500 56680 70850 109000 113360 141700 177125 218000 283400 354250 566800 708500 1417000 1528421 2834000 3056842 6113684 7642105 12227368 15284210 19869473 24454736 30568420 38210525 39738946 61136840 76421050 79477892 99347365 122273680 152842100 158955784 166597889 191052625 198694730 305684200 317911568 333195778 382105250 397389460 496736825 611368400 666391556 764210500 794778920 832989445 993473650 1332783112 1528421000 1589557840 1665978890 1986947300 2165772557 2483684125 2665566224 3056842000 3331957780 3973894600 4164947225 4331545114 4967368250 6663915560 7947789200 8329894450 8663090228 9934736500 10828862785 13327831120 16659788900 17326180456 19869473000 20824736125 21657725570 33319577800 34652360912 39738946000 41649472250 43315451140 54144313925 66639155600 83298944500 86630902280 108288627850 166597889000 173261804560 216577255700 270721569625 333195778000 433154511400 541443139250 866309022800 1082886278500 2165772557000 4331545114000