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145441311535050 = 23527121107647011
BaseRepresentation
bin100001000100011100110001…
…101101011010111111001010
3201001222001110001212110100220
4201010130301231122333022
5123030402301223110200
61233154452141210510
742430534166145336
oct4104346155327712
9631861401773326
10145441311535050
114238434a794903
121438b600b60a36
136320097b0b99b
1427cb57b6887c6
1511c33e030b4a0
hex844731b5afca

145441311535050 has 96 divisors (see below), whose sum is σ = 365792551064064. Its totient is φ = 38236220568000.

The previous prime is 145441311535049. The next prime is 145441311535081. The reversal of 145441311535050 is 50535113144541.

145441311535050 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145441311534993 and 145441311535011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224466045 + ... + 225113055.

It is an arithmetic number, because the mean of its divisors is an integer number (3810339073584).

Almost surely, 2145441311535050 is an apocalyptic number.

145441311535050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145441311535050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182896275532032).

145441311535050 is an abundant number, since it is smaller than the sum of its proper divisors (220351239529014).

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

145441311535050 is a wasteful number, since it uses less digits than its factorization.

145441311535050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668204 (or 668199 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

Adding to 145441311535050 its reverse (50535113144541), we get a palindrome (195976424679591).

The spelling of 145441311535050 in words is "one hundred forty-five trillion, four hundred forty-one billion, three hundred eleven million, five hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 213 355 426 710 1065 1775 2130 3550 5325 10650 21107 42214 63321 105535 126642 211070 316605 527675 633210 647011 1055350 1294022 1498597 1583025 1941033 2997194 3166050 3235055 3882066 4495791 6470110 7492985 8991582 9705165 14985970 16175275 19410330 22478955 32350550 37464925 44957910 45937781 48525825 74929850 91875562 97051650 112394775 137813343 224789550 229688905 275626686 459377810 689066715 1148444525 1378133430 2296889050 3445333575 6890667150 13656461177 27312922354 40969383531 68282305885 81938767062 136564611770 204846917655 341411529425 409693835310 682823058850 969608743567 1024234588275 1939217487134 2048469176550 2908826230701 4848043717835 5817652461402 9696087435670 14544131153505 24240218589175 29088262307010 48480437178350 72720655767525 145441311535050