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132124304234412 = 223275475991600177
BaseRepresentation
bin11110000010101010010110…
…001110000101011110101100
3122022210221220221012111211200
4132002222112032011132230
5114304211033341000122
61145001022322045500
736554444266602360
oct3602522616053654
9568727827174750
10132124304234412
113910a66a2a3156
121299a6aa1a9890
135895364976589
14248abc98a12a0
151041cca34a5ac
hex782a963857ac

132124304234412 has 144 divisors (see below), whose sum is σ = 383028847219200. Its totient is φ = 37617859109376.

The previous prime is 132124304234393. The next prime is 132124304234467. The reversal of 132124304234412 is 214432403421231.

132124304234412 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 4 + 3 + 0 + 4 + 234 + 412 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81768468 + ... + 83368644.

Almost surely, 2132124304234412 is an apocalyptic number.

132124304234412 is a gapful number since it is divisible by the number (12) 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 132124304234412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191514423609600).

132124304234412 is an abundant number, since it is smaller than the sum of its proper divisors (250904542984788).

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

132124304234412 is a wasteful number, since it uses less digits than its factorization.

132124304234412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601340 (or 1601335 counting only the distinct ones).

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

Adding to 132124304234412 its reverse (214432403421231), we get a palindrome (346556707655643).

The spelling of 132124304234412 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, three hundred four million, two hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 547 599 1094 1198 1641 1797 2188 2396 3282 3594 3829 4193 4923 5391 6564 7188 7658 8386 9846 10782 11487 12579 15316 16772 19692 21564 22974 25158 34461 37737 45948 50316 68922 75474 137844 150948 327653 655306 982959 1310612 1600177 1965918 2293571 2948877 3200354 3931836 4587142 4800531 5897754 6400708 6880713 9174284 9601062 11201239 11795508 13761426 14401593 19202124 20642139 22402478 27522852 28803186 33603717 41284278 44804956 57606372 67207434 82568556 100811151 134414868 201622302 403244604 875296819 958506023 1750593638 1917012046 2625890457 2875518069 3501187276 3834024092 5251780914 5751036138 6127077733 6709542161 7877671371 8626554207 10503561828 11502072276 12254155466 13419084322 15755342742 17253108414 18381233199 20128626483 24508310932 26838168644 31510685484 34506216828 36762466398 40257252966 55143699597 60385879449 73524932796 80514505932 110287399194 120771758898 220574798388 241543517796 524302794581 1048605589162 1572908383743 2097211178324 3145816767486 3670119562067 4718725151229 6291633534972 7340239124134 9437450302458 11010358686201 14680478248268 18874900604916 22020717372402 33031076058603 44041434744804 66062152117206 132124304234412