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145321126445404 = 2272131728311854793
BaseRepresentation
bin100001000010101100110110…
…000111101100000101011100
3201001112120020011102022121101
4201002230312013230011130
5123021420131332223104
61233023334233442444
742416050661556100
oct4102546607540534
9631476204368541
10145321126445404
1142338386401138
121437025b270424
13631195348ac20
1427c5819921900
1511c0208e945a4
hex842b361ec15c

145321126445404 has 144 divisors (see below), whose sum is σ = 338521134899808. Its totient is φ = 53916732076032.

The previous prime is 145321126445401. The next prime is 145321126445471. The reversal of 145321126445404 is 404544621123541.

It is a super-2 number, since 2×1453211264454042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145321126445401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6331032 + ... + 18185824.

It is an arithmetic number, because the mean of its divisors is an integer number (2350841214582).

Almost surely, 2145321126445404 is an apocalyptic number.

145321126445404 is a gapful number since it is divisible by the number (14) 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 145321126445404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169260567449904).

145321126445404 is an abundant number, since it is smaller than the sum of its proper divisors (193200008454404).

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

145321126445404 is a wasteful number, since it uses less digits than its factorization.

145321126445404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11855124 (or 11855115 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

Adding to 145321126445404 its reverse (404544621123541), we get a palindrome (549865747568945).

The spelling of 145321126445404 in words is "one hundred forty-five trillion, three hundred twenty-one billion, one hundred twenty-six million, four hundred forty-five thousand, four hundred four".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 283 364 442 476 566 637 833 884 1132 1274 1547 1666 1981 2548 3094 3332 3679 3962 4811 6188 7358 7924 9622 10829 13867 14716 19244 21658 25753 27734 33677 43316 51506 55468 62543 67354 103012 125086 134708 180271 235739 250172 360542 437801 471478 721084 875602 942956 1751204 3064607 6129214 11854793 12258428 23709586 47419172 82983551 154112309 165967102 201531481 308224618 331934204 403062962 580884857 616449236 806125924 1078786163 1161769714 1410720367 2157572326 2323539428 2619909253 2821440734 3354906419 4315144652 5239818506 5642881468 6709812838 7551503141 9875042569 10479637012 13419625676 15103006282 18339364771 19750085138 23484344933 30206012564 36678729542 39500170276 43613783447 46968689866 57033409123 73357459084 87227566894 93937379732 114066818246 128375553397 164390414531 174455133788 228133636492 256751106794 305296484129 328780829062 399233863861 513502213588 610592968258 657561658124 741434318599 798467727722 1221185936516 1482868637198 1596935455444 2137075388903 2794637047027 2965737274396 4274150777806 5190040230193 5589274094054 8548301555612 10380080460386 11178548188108 20760160920772 36330281611351 72660563222702 145321126445404