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132244400310440 = 23511401943779423
BaseRepresentation
bin11110000100011010001100…
…100000010000100010101000
3122100020102220122011021212112
4132010122030200100202220
5114313143012434413230
61145132123325501452
736566225343444665
oct3604321440204250
9570212818137775
10132244400310440
1139156598409650
12129b9a26111888
1358a3793a2c362
14249293d896a6c
151044ea897cd95
hex78468c8108a8

132244400310440 has 128 divisors (see below), whose sum is σ = 325447947601920. Its totient is φ = 47963263488000.

The previous prime is 132244400310419. The next prime is 132244400310457. The reversal of 132244400310440 is 44013004442231.

It is a junction number, because it is equal to n+sod(n) for n = 132244400310397 and 132244400310406.

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, 1665024569 + ... + 1665103991.

It is an arithmetic number, because the mean of its divisors is an integer number (2542562090640).

Almost surely, 2132244400310440 is an apocalyptic number.

132244400310440 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 132244400310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162723973800960).

132244400310440 is an abundant number, since it is smaller than the sum of its proper divisors (193203547291480).

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

132244400310440 is a wasteful number, since it uses less digits than its factorization.

132244400310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89283 (or 89279 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 132244400310440 its reverse (44013004442231), we get a palindrome (176257404752671).

The spelling of 132244400310440 in words is "one hundred thirty-two trillion, two hundred forty-four billion, four hundred million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 401 440 802 1604 2005 3208 4010 4411 8020 8822 9437 16040 17644 18874 22055 35288 37748 44110 47185 75496 79423 88220 94370 103807 158846 176440 188740 207614 317692 377480 397115 415228 519035 635384 794230 830456 873653 1038070 1588460 1747306 2076140 3176920 3494612 3784237 4152280 4368265 6989224 7568474 8736530 15136948 17473060 18921185 30273896 31848623 34946120 37842370 41626607 63697246 75684740 83253214 127394492 151369480 159243115 166506428 208133035 254788984 318486230 333012856 350334853 416266070 636972460 700669706 749514851 832532140 1273944920 1401339412 1499029702 1665064280 1751674265 2802678824 2998059404 3503348530 3747574255 5996118808 7006697060 7495148510 8244663361 14013394120 14990297020 16489326722 29980594040 32978653444 41223316805 65957306888 82446633610 164893267220 300555455251 329786534440 601110910502 1202221821004 1502777276255 2404443642008 3005554552510 3306110007761 6011109105020 6612220015522 12022218210040 13224440031044 16530550038805 26448880062088 33061100077610 66122200155220 132244400310440