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132314452000 = 2553202716319
BaseRepresentation
bin111101100111010001…
…1100101000000100000
3110122112012222120220021
41323032203211000200
54131434444431000
6140441233523224
712362606166553
oct1731643450040
9418465876807
10132314452000
1151129071185
1221787a13514
13c628539a63
146592a1a69a
15369613c11a
hex1ece8e5020

132314452000 has 96 divisors (see below), whose sum is σ = 325276922880. Its totient is φ = 52896428800.

The previous prime is 132314451991. The next prime is 132314452031. The reversal of 132314452000 is 254413231.

It is a super-2 number, since 2×1323144520002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8099841 + ... + 8116159.

It is an arithmetic number, because the mean of its divisors is an integer number (3388301280).

Almost surely, 2132314452000 is an apocalyptic number.

132314452000 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 132314452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162638461440).

132314452000 is an abundant number, since it is smaller than the sum of its proper divisors (192962470880).

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

132314452000 is a wasteful number, since it uses less digits than its factorization.

132314452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18371 (or 18353 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 132314452000 its reverse (254413231), we get a palindrome (132568865231).

The spelling of 132314452000 in words is "one hundred thirty-two billion, three hundred fourteen million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2027 4000 4054 8108 10135 16216 16319 20270 32432 32638 40540 50675 64864 65276 81080 81595 101350 130552 162160 163190 202700 253375 261104 324320 326380 405400 407975 506750 522208 652760 810800 815950 1013500 1305520 1621600 1631900 2027000 2039875 2611040 3263800 4054000 4079750 6527600 8108000 8159500 13055200 16319000 32638000 33078613 65276000 66157226 132314452 165393065 264628904 330786130 529257808 661572260 826965325 1058515616 1323144520 1653930650 2646289040 3307861300 4134826625 5292578080 6615722600 8269653250 13231445200 16539306500 26462890400 33078613000 66157226000 132314452000