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8428114480 = 2451723269441
BaseRepresentation
bin1111101100101101…
…01101001000110000
3210202100222120120011
413312112231020300
5114230044130410
63512151424304
7415566535222
oct76626551060
923670876504
108428114480
1136354a6175
121772685094
13a441493b6
1459d4aa412
15344db418a
hex1f65ad230

8428114480 has 80 divisors (see below), whose sum is σ = 21650203584. Its totient is φ = 3034972160.

The previous prime is 8428114477. The next prime is 8428114481. The reversal of 8428114480 is 844118248.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×84281144802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8428114481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103441 + ... + 166000.

Almost surely, 28428114480 is an apocalyptic number.

8428114480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8428114480 is an abundant number, since it is smaller than the sum of its proper divisors (13222089104).

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

8428114480 is a wasteful number, since it uses less digits than its factorization.

8428114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269494 (or 269488 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 8428114480 is about 91804.7628394083. The cubic root of 8428114480 is about 2035.0580813974.

The spelling of 8428114480 in words is "eight billion, four hundred twenty-eight million, one hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 15640 31280 269441 538882 1077764 1347205 2155528 2694410 4311056 4580497 5388820 6197143 9160994 10777640 12394286 18321988 21555280 22902485 24788572 30985715 36643976 45804970 49577144 61971430 73287952 91609940 99154288 105351431 123942860 183219880 210702862 247885720 366439760 421405724 495771440 526757155 842811448 1053514310 1685622896 2107028620 4214057240 8428114480