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132223134342402 = 23217314327538543
BaseRepresentation
bin11110000100000110011000…
…111101000001110100000010
3122100011102000120111011221200
4132010012120331001310002
5114312320434342424102
61145114245214202030
736564543346631115
oct3604063075016402
9570142016434850
10132223134342402
1139148575317054
12129b58901b3316
1358a1784ca3a0c
1424918c33cc57c
1510446619e551c
hex784198f41d02

132223134342402 has 144 divisors (see below), whose sum is σ = 320571698623488. Its totient is φ = 39210067733760.

The previous prime is 132223134342401. The next prime is 132223134342421. The reversal of 132223134342402 is 204243431322231.

132223134342402 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 231 + 343 + 42 + 40 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (132223134342401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13770343 + ... + 21308885.

It is an arithmetic number, because the mean of its divisors is an integer number (2226192351552).

Almost surely, 2132223134342402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132223134342402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160285849311744).

132223134342402 is an abundant number, since it is smaller than the sum of its proper divisors (188348564281086).

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

132223134342402 is a wasteful number, since it uses less digits than its factorization.

132223134342402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538685 (or 7538639 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 132223134342402 its reverse (204243431322231), we get a palindrome (336466565664633).

The spelling of 132223134342402 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, one hundred thirty-four million, three hundred forty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 17 18 31 34 43 51 62 86 93 102 129 153 186 258 279 306 387 527 558 731 774 1054 1333 1462 1581 1849 2193 2666 3162 3698 3999 4386 4743 5547 6579 7998 9486 11094 11997 13158 16641 22661 23994 31433 33282 45322 57319 62866 67983 94299 114638 135966 171957 188598 203949 282897 343914 407898 515871 565794 974423 1031742 1948846 2923269 5846538 7538543 8769807 15077086 17539614 22615629 45231258 67846887 128155231 135693774 233694833 256310462 324157349 384465693 467389666 648314698 701084499 768931386 972472047 1153397079 1402168998 1944944094 2103253497 2306794158 2917416141 3972812161 4206506994 5510674933 5834832282 7945624322 10048877819 11021349866 11918436483 13938766007 16532024799 20097755638 23836872966 27877532014 30146633457 33064049598 35755309449 41816298021 49596074397 60293266914 71510618898 83632596042 90439900371 99192148794 125448894063 170830922923 180879800742 236959022119 250897788126 341661845846 432101746217 473918044238 512492768769 710877066357 864203492434 1024985537538 1296305238651 1421754132714 1537478306307 2132631199071 2592610477302 3074956612614 3888915715953 4265262398142 7345729685689 7777831431906 14691459371378 22037189057067 44074378114134 66111567171201 132223134342402