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114541115022320 = 24573311613383099
BaseRepresentation
bin11010000010110010101110…
…011110010001101111110000
3120000120000122020121201212012
4122002302232132101233300
5110003120200421203240
61043335243430422052
733061215415364150
oct3202625636215760
9500500566551765
10114541115022320
1133550683393048
1210a1aa03801928
134bbb2472aa71c
14203db68ba0760
15d39725b39b65
hex682cae791bf0

114541115022320 has 160 divisors (see below), whose sum is σ = 305461652774400. Its totient is φ = 39128219919360.

The previous prime is 114541115022293. The next prime is 114541115022331. The reversal of 114541115022320 is 23220511145411.

It is a congruent number.

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, 298794131 + ... + 299177229.

It is an arithmetic number, because the mean of its divisors is an integer number (1909135329840).

Almost surely, 2114541115022320 is an apocalyptic number.

114541115022320 is a gapful number since it is divisible by the number (10) 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 114541115022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152730826387200).

114541115022320 is an abundant number, since it is smaller than the sum of its proper divisors (190920537752080).

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

114541115022320 is a wasteful number, since it uses less digits than its factorization.

114541115022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385063 (or 385057 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 114541115022320 its reverse (23220511145411), we get a palindrome (137761626167731).

The spelling of 114541115022320 in words is "one hundred fourteen trillion, five hundred forty-one billion, one hundred fifteen million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 331 560 662 1324 1613 1655 2317 2648 3226 3310 4634 5296 6452 6620 8065 9268 11291 11585 12904 13240 16130 18536 22582 23170 25808 26480 32260 37072 45164 46340 56455 64520 90328 92680 112910 129040 180656 185360 225820 383099 451640 533903 766198 903280 1067806 1532396 1915495 2135612 2669515 2681693 3064792 3737321 3830990 4271224 5339030 5363386 6129584 7474642 7661980 8542448 10678060 10726772 13408465 14949284 15323960 18686605 21356120 21453544 26816930 29898568 30647920 37373210 42712240 42907088 53633860 59797136 74746420 107267720 126805769 149492840 214535440 253611538 298985680 507223076 617938687 634028845 887640383 1014446152 1235877374 1268057690 1775280766 2028892304 2471754748 2536115380 3089693435 3550561532 4325570809 4438201915 4943509496 5072230760 6179386870 7101123064 8651141618 8876403830 9887018992 10144461520 12358773740 14202246128 17302283236 17752807660 21627854045 24717547480 34604566472 35505615320 43255708090 49435094960 69209132944 71011230640 86511416180 173022832360 204537705397 346045664720 409075410794 818150821588 1022688526985 1431763937779 1636301643176 2045377053970 2863527875558 3272603286352 4090754107940 5727055751116 7158819688895 8181508215880 11454111502232 14317639377790 16363016431760 22908223004464 28635278755580 57270557511160 114541115022320