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15142134450 = 2352315361441
BaseRepresentation
bin11100001101000101…
…01010001010110010
31110002021121010111110
432012202222022302
5222002341300300
610542312254150
71044144006402
oct160642521262
943067533443
1015142134450
116470381803
122b270a1356
131574122a91
14a39062802
155d953d550
hex3868aa2b2

15142134450 has 96 divisors (see below), whose sum is σ = 39495900672. Its totient is φ = 3833856000.

The previous prime is 15142134421. The next prime is 15142134467. The reversal of 15142134450 is 5443124151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215730 + ... + 277170.

It is an arithmetic number, because the mean of its divisors is an integer number (411415632).

Almost surely, 215142134450 is an apocalyptic number.

15142134450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15142134450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747950336).

15142134450 is an abundant number, since it is smaller than the sum of its proper divisors (24353766222).

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

15142134450 is a wasteful number, since it uses less digits than its factorization.

15142134450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61540 (or 61535 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 15142134450 in words is "fifteen billion, one hundred forty-two million, one hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 53 62 75 93 106 150 155 159 186 265 310 318 465 530 775 795 930 1325 1550 1590 1643 2325 2650 3286 3975 4650 4929 7950 8215 9858 16430 24645 41075 49290 61441 82150 122882 123225 184323 246450 307205 368646 614410 921615 1536025 1843230 1904671 3072050 3256373 3809342 4608075 5714013 6512746 9216150 9523355 9769119 11428026 16281865 19046710 19538238 28570065 32563730 47616775 48845595 57140130 81409325 95233550 97691190 100947563 142850325 162818650 201895126 244227975 285700650 302842689 488455950 504737815 605685378 1009475630 1514213445 2523689075 3028426890 5047378150 7571067225 15142134450