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134251132400 = 24527114358803
BaseRepresentation
bin111110100000111111…
…1011011010111110000
3110211112012012010221222
41331001333123113300
54144421242214100
6141401335404212
712461603540240
oct1750177332760
9424465163858
10134251132400
1151a3229a8a0
1222028523668
13c8768441a8
1466d7d11b20
15375b193485
hex1f41fdb5f0

134251132400 has 120 divisors (see below), whose sum is σ = 402125821824. Its totient is φ = 41844499200.

The previous prime is 134251132399. The next prime is 134251132439. The reversal of 134251132400 is 4231152431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 134251132400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2148602 + ... + 2210201.

Almost surely, 2134251132400 is an apocalyptic number.

134251132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134251132400 is an abundant number, since it is smaller than the sum of its proper divisors (267874689424).

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

134251132400 is a wasteful number, since it uses less digits than its factorization.

134251132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358839 (or 4358828 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 134251132400 its reverse (4231152431), we get a palindrome (138482284831).

The spelling of 134251132400 in words is "one hundred thirty-four billion, two hundred fifty-one million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2800 3080 3850 4400 6160 7700 15400 30800 4358803 8717606 17435212 21794015 30511621 34870424 43588030 47946833 61023242 69740848 87176060 95893666 108970075 122046484 152558105 174352120 191787332 217940150 239734165 244092968 305116210 335627831 348704240 383574664 435880300 479468330 488185936 610232420 671255662 762790525 767149328 871760600 958936660 1198670825 1220464840 1342511324 1525581050 1678139155 1743521200 1917873320 2397341650 2440929680 2685022648 3051162100 3356278310 3835746640 4794683300 5370045296 6102324200 6712556620 8390695775 9589366600 12204648400 13425113240 16781391550 19178733200 26850226480 33562783100 67125566200 134251132400