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132242163444 = 223247791795527
BaseRepresentation
bin111101100101000111…
…1110100011011110100
3110122100011221221122100
41323022033310123310
54131312443212234
6140430132302100
712361040562006
oct1731217643364
9418304857570
10132242163444
11510a1287776
1221767771930
13c616579671
1465871a0376
15368eb0d399
hex1eca3f46f4

132242163444 has 144 divisors (see below), whose sum is σ = 347706777600. Its totient is φ = 42351087168.

The previous prime is 132242163439. The next prime is 132242163517. The reversal of 132242163444 is 444361242231.

132242163444 is a `hidden beast` number, since 1 + 32 + 24 + 2 + 163 + 444 = 666.

It is a super-2 number, since 2×1322421634442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132242163399 and 132242163408.

It is a congruent number.

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, 23923809 + ... + 23929335.

It is an arithmetic number, because the mean of its divisors is an integer number (2414630400).

Almost surely, 2132242163444 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 132242163444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173853388800).

132242163444 is an abundant number, since it is smaller than the sum of its proper divisors (215464614156).

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

132242163444 is a wasteful number, since it uses less digits than its factorization.

132242163444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5837 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 132242163444 in words is "one hundred thirty-two billion, two hundred forty-two million, one hundred sixty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 79 94 141 158 179 188 237 282 316 358 423 474 537 564 711 716 846 948 1074 1422 1611 1692 2148 2844 3222 3713 5527 6444 7426 8413 11054 11139 14141 14852 16581 16826 22108 22278 25239 28282 33162 33417 33652 42423 44556 49743 50478 56564 66324 66834 75717 84846 99486 100956 127269 133668 151434 169692 198972 254538 259769 302868 436633 509076 519538 664627 779307 873266 989333 1039076 1309899 1329254 1558614 1746532 1978666 1993881 2337921 2619798 2658508 2967999 3117228 3929697 3957332 3987762 4675842 5239596 5935998 5981643 7859394 7975524 8903997 9351684 11871996 11963286 15718788 17807994 20521751 23926572 35615988 41043502 46498651 61565253 78157307 82087004 92997302 123130506 139495953 156314614 184695759 185994604 234471921 246261012 278991906 312629228 369391518 418487859 468943842 557983812 703415763 738783036 836975718 937887684 1406831526 1673951436 2813663052 3673393429 7346786858 11020180287 14693573716 22040360574 33060540861 44080721148 66121081722 132242163444