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132404023040 = 285170960527
BaseRepresentation
bin111101101001111100…
…1010000111100000000
3110122202110112021021012
41323103321100330000
54132130412214130
6140454153420052
712365044424612
oct1732371207400
9418673467235
10132404023040
115117468a233
12217b1a0a628
13c640c6b683
1465a0894db2
15369de31995
hex1ed3e50f00

132404023040 has 72 divisors (see below), whose sum is σ = 317339830080. Its totient is φ = 52929744896.

The previous prime is 132404023039. The next prime is 132404023069. The reversal of 132404023040 is 40320404231.

It is a junction number, because it is equal to n+sod(n) for n = 132404022997 and 132404023015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2157257 + ... + 2217783.

It is an arithmetic number, because the mean of its divisors is an integer number (4407497640).

Almost surely, 2132404023040 is an apocalyptic number.

132404023040 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 132404023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158669915040).

132404023040 is an abundant number, since it is smaller than the sum of its proper divisors (184935807040).

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

132404023040 is an equidigital number, since it uses as much as digits as its factorization.

132404023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62257 (or 62243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 132404023040 its reverse (40320404231), we get a palindrome (172724427271).

The spelling of 132404023040 in words is "one hundred thirty-two billion, four hundred four million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1709 3418 6836 8545 13672 17090 27344 34180 54688 60527 68360 109376 121054 136720 218752 242108 273440 302635 437504 484216 546880 605270 968432 1093760 1210540 1936864 2187520 2421080 3873728 4842160 7747456 9684320 15494912 19368640 38737280 77474560 103440643 206881286 413762572 517203215 827525144 1034406430 1655050288 2068812860 3310100576 4137625720 6620201152 8275251440 13240402304 16550502880 26480804608 33101005760 66202011520 132404023040