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132104144004440 = 23573331756118077
BaseRepresentation
bin11110000010010111100100…
…100100111010010101011000
3122022202000212221011201101112
4132002113210210322111120
5114303343241331120230
61144543450030235452
736553131560510606
oct3602274444722530
9568660787151345
10132104144004440
1139102064384a73
1212996802655b88
1358934a102a60a
142489c361ca876
1510414ea4cdd95
hex7825e493a558

132104144004440 has 128 divisors (see below), whose sum is σ = 302273008096320. Its totient is φ = 51950597529600.

The previous prime is 132104144004421. The next prime is 132104144004461. The reversal of 132104144004440 is 44400441401231.

It is a junction number, because it is equal to n+sod(n) for n = 132104144004397 and 132104144004406.

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, 7307848682 + ... + 7307866758.

Almost surely, 2132104144004440 is an apocalyptic number.

132104144004440 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 132104144004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151136504048160).

132104144004440 is an abundant number, since it is smaller than the sum of its proper divisors (170168864091880).

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

132104144004440 is a wasteful number, since it uses less digits than its factorization.

132104144004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26053 (or 26049 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 132104144004440 its reverse (44400441401231), we get a palindrome (176504585405671).

The spelling of 132104144004440 in words is "one hundred thirty-two trillion, one hundred four billion, one hundred forty-four million, four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 331 365 584 662 730 1324 1460 1655 2648 2920 3310 6620 7561 13240 15122 18077 24163 30244 36154 37805 48326 60488 72308 75610 90385 96652 120815 144616 151220 180770 193304 241630 302440 361540 483260 551953 723080 966520 1103906 1319621 2207812 2502691 2639242 2759765 4415624 5005382 5278484 5519530 5983487 6598105 10010764 10556968 11039060 11966974 12513455 13196210 20021528 22078120 23933948 25026910 26392420 29917435 47867896 50053820 52784840 59834870 100107640 119669740 136680197 182696443 239339480 273360394 365392886 436794551 546720788 683400985 730785772 873589102 913482215 1093441576 1366801970 1461571544 1747178204 1826964430 2183972755 2733603940 3494356408 3653928860 4367945510 5467207880 7307857720 8735891020 9977654381 17471782040 19955308762 39910617524 45241145207 49888271905 79821235048 90482290414 99776543810 180964580828 199553087620 226205726035 361929161656 399106175240 452411452070 904822904140 1809645808280 3302603600111 6605207200222 13210414400444 16513018000555 26420828800888 33026036001110 66052072002220 132104144004440