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132114105150244 = 227219471245160623
BaseRepresentation
bin11110000010100000110110…
…010011101010101100100100
3122022202222121010211100120121
4132002200312103222230210
5114304024141404301434
61144552214304211324
736553633454036200
oct3602406623525444
9568688533740517
10132114105150244
1139106306171278
1212998722609b44
1358943ca962929
14248a4dd117b00
1510418cec647b4
hex7828364eab24

132114105150244 has 144 divisors (see below), whose sum is σ = 289153083985920. Its totient is φ = 52493947732800.

The previous prime is 132114105150217. The next prime is 132114105150337. The reversal of 132114105150244 is 442051501411231.

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, 2179243317 + ... + 2179303939.

It is an arithmetic number, because the mean of its divisors is an integer number (2008007527680).

Almost surely, 2132114105150244 is an apocalyptic number.

132114105150244 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 132114105150244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144576541992960).

132114105150244 is an abundant number, since it is smaller than the sum of its proper divisors (157038978835676).

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

132114105150244 is a wasteful number, since it uses less digits than its factorization.

132114105150244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73158 (or 73149 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

Adding to 132114105150244 its reverse (442051501411231), we get a palindrome (574165606561475).

The spelling of 132114105150244 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred five million, one hundred fifty thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 47 49 76 94 98 133 188 196 266 329 532 658 893 931 1316 1786 1862 2303 3572 3724 4606 6251 9212 12451 12502 24902 25004 43757 49804 60623 87157 87514 121246 174314 175028 236569 242492 348628 424361 473138 585197 610099 848722 946276 1151837 1170394 1220198 1655983 1697444 2303674 2340788 2440396 2849281 2970527 3311966 4096379 4607348 5698562 5941054 6623932 8062859 8192758 11118743 11397124 11591881 11882108 16125718 16385516 19944967 22237486 23183762 28674653 32251436 39889934 44474972 46367524 54136339 56440013 57349306 77831201 79779868 108272678 112880026 114698612 139614769 155662402 216545356 225760052 279229538 311324804 378954373 544818407 558459076 754816973 757908746 1089636814 1509633946 1515817492 2179273628 2652680611 3019267892 5283718811 5305361222 10567437622 10610722444 14341522487 21134875244 28683044974 35476397731 36986031677 57366089948 70952795462 73972063354 100390657409 141905590924 147944126708 200781314818 248334784117 401562629636 496669568234 674051556889 702734601863 993339136468 1348103113778 1405469203726 1738343488819 2696206227556 2810938407452 3476686977638 4718360898223 6953373955276 9436721796446 18873443592892 33028526287561 66057052575122 132114105150244