Search a number
-
+
132451313440 = 25519411062671
BaseRepresentation
bin111101101011010110…
…1101010011100100000
3110122212202111212111111
41323112231222130200
54132230014012230
6140503003153104
712366160405525
oct1732655523440
9418782455444
10132451313440
115119934a206
1221805815794
13c64a9b8664
1465a6c8514c
1536a317392a
hex1ed6b6a720

132451313440 has 96 divisors (see below), whose sum is σ = 337419613440. Its totient is φ = 48967833600.

The previous prime is 132451313389. The next prime is 132451313441. The reversal of 132451313440 is 44313154231.

It is a super-2 number, since 2×1324513134402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132451313441) 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, 406696 + ... + 655975.

It is an arithmetic number, because the mean of its divisors is an integer number (3514787640).

Almost surely, 2132451313440 is an apocalyptic number.

132451313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132451313440 is an abundant number, since it is smaller than the sum of its proper divisors (204968300000).

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

132451313440 is a wasteful number, since it uses less digits than its factorization.

132451313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062746 (or 1062738 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 132451313440 its reverse (44313154231), we get a palindrome (176764467671).

The spelling of 132451313440 in words is "one hundred thirty-two billion, four hundred fifty-one million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 76 80 82 95 152 160 164 190 205 304 328 380 410 608 656 760 779 820 1312 1520 1558 1640 3040 3116 3280 3895 6232 6560 7790 12464 15580 24928 31160 62320 124640 1062671 2125342 4250684 5313355 8501368 10626710 17002736 20190749 21253420 34005472 40381498 42506840 43569511 80762996 85013680 87139022 100953745 161525992 170027360 174278044 201907490 217847555 323051984 348556088 403814980 435695110 646103968 697112176 807629960 827820709 871390220 1394224352 1615259920 1655641418 1742780440 3230519840 3311282836 3485560880 4139103545 6622565672 6971121760 8278207090 13245131344 16556414180 26490262688 33112828360 66225656720 132451313440