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132303053313104 = 24294143862918743
BaseRepresentation
bin11110000101010000110100…
…011111101101010001010000
3122100110001022021010112122112
4132011100310133231101100
5114320123123122004404
61145215103355124452
736603402665651522
oct3605206437552120
9570401267115575
10132303053313104
1139179456509673
1212a09274a43728
1358a91803a7aab
1424957054b3a12
15104678cd0a56e
hex7854347ed450

132303053313104 has 160 divisors (see below), whose sum is σ = 278008443820800. Its totient is φ = 60853192888320.

The previous prime is 132303053313089. The next prime is 132303053313107. The reversal of 132303053313104 is 401313350303231.

It is a super-2 number, since 2×1323030533131042 (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 (132303053313107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7058788757 + ... + 7058807499.

It is an arithmetic number, because the mean of its divisors is an integer number (1737552773880).

Almost surely, 2132303053313104 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 132303053313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139004221910400).

132303053313104 is an abundant number, since it is smaller than the sum of its proper divisors (145705390507696).

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

132303053313104 is a wasteful number, since it uses less digits than its factorization.

132303053313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27493 (or 27487 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 32.

The spelling of 132303053313104 in words is "one hundred thirty-two trillion, three hundred three billion, fifty-three million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 29 41 43 58 82 86 116 164 172 232 328 344 464 656 688 1189 1247 1763 2378 2494 3526 4756 4988 7052 8629 9512 9976 14104 17258 18743 19024 19952 28208 34516 37486 51127 69032 74972 102254 138064 149944 204508 250241 299888 353789 371047 409016 500482 543547 707578 742094 768463 805949 818032 1000964 1087094 1415156 1484188 1536926 1611898 2001928 2174188 2830312 2968376 3073852 3223796 4003856 4348376 5660624 5936752 6147704 6447592 8696752 10259881 10760363 12295408 12895184 15212927 20519762 21520726 22285427 23372521 30425854 33043909 41039524 43041452 44570854 46745042 60851708 66087818 82079048 86082904 89141708 93490084 121703416 132175636 161733347 164158096 172165808 178283416 186980168 243406832 264351272 323466694 356566832 373960336 441174883 528702544 646933388 882349766 958273361 1293866776 1764699532 1916546722 2587733552 3529399064 3833093444 4690267063 6631067227 6954533921 7058798128 7666186888 9380534126 13262134454 13909067842 15332373776 18761068252 26524268908 27818135684 37522136504 53048537816 55636271368 75044273008 106097075632 111272542736 192300949583 201681483709 285135890761 384601899166 403362967418 570271781522 769203798332 806725934836 1140543563044 1538407596664 1613451869672 2281087126088 3076815193328 3226903739344 4562174252176 8268940832069 16537881664138 33075763328276 66151526656552 132303053313104