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132418341104 = 24713919144533
BaseRepresentation
bin111101101010010111…
…1111000100011110000
3110122210110110200221212
41323110233320203300
54132143043403404
6140455424335252
712365310220340
oct1732457704360
9418713420855
10132418341104
1151181779645
12217b6774528
13c643c127ba
1465a2740d20
1536a030e06e
hex1ed4bf88f0

132418341104 has 80 divisors (see below), whose sum is σ = 296874332160. Its totient is φ = 56046193920.

The previous prime is 132418341091. The next prime is 132418341109. The reversal of 132418341104 is 401143814231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132418341109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2951222 + ... + 2995754.

It is an arithmetic number, because the mean of its divisors is an integer number (3710929152).

Almost surely, 2132418341104 is an apocalyptic number.

132418341104 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 132418341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148437166080).

132418341104 is an abundant number, since it is smaller than the sum of its proper divisors (164455991056).

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

132418341104 is a wasteful number, since it uses less digits than its factorization.

132418341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44878 (or 44872 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 132418341104 in words is "one hundred thirty-two billion, four hundred eighteen million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 191 278 382 556 764 973 1112 1337 1528 1946 2224 2674 3056 3892 5348 7784 10696 15568 21392 26549 44533 53098 89066 106196 178132 185843 212392 311731 356264 371686 424784 623462 712528 743372 1246924 1486744 2493848 2973488 4987696 6190087 8505803 12380174 17011606 24760348 34023212 43330609 49520696 59540621 68046424 86661218 99041392 119081242 136092848 173322436 238162484 346644872 476324968 693289744 952649936 1182306617 2364613234 4729226468 8276146319 9458452936 16552292638 18916905872 33104585276 66209170552 132418341104