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4280129840 = 245716745767
BaseRepresentation
bin1111111100011101…
…1001100100110000
3102001021211010100102
43333013121210300
532231203123330
61544414011532
7211031334440
oct37707314460
912037733312
104280129840
1118a7026998
129b54a6ba8
1353298320c
142c8634120
151a0b5b945
hexff1d9930

4280129840 has 80 divisors (see below), whose sum is σ = 11441267712. Its totient is φ = 1458653952.

The previous prime is 4280129813. The next prime is 4280129873. The reversal of 4280129840 is 489210824.

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

It is a super-2 number, since 2×42801298402 = 36639022894516851200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4280129794 and 4280129803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70637 + ... + 116403.

Almost surely, 24280129840 is an apocalyptic number.

4280129840 is a gapful number since it is divisible by the number (40) 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 4280129840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720633856).

4280129840 is an abundant number, since it is smaller than the sum of its proper divisors (7161137872).

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

4280129840 is a wasteful number, since it uses less digits than its factorization.

4280129840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45954 (or 45948 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 4280129840 is about 65422.7012588138. The cubic root of 4280129840 is about 1623.6246938635.

The spelling of 4280129840 in words is "four billion, two hundred eighty million, one hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 280 334 560 668 835 1169 1336 1670 2338 2672 3340 4676 5845 6680 9352 11690 13360 18704 23380 45767 46760 91534 93520 183068 228835 320369 366136 457670 640738 732272 915340 1281476 1601845 1830680 2562952 3203690 3661360 5125904 6407380 7643089 12814760 15286178 25629520 30572356 38215445 53501623 61144712 76430890 107003246 122289424 152861780 214006492 267508115 305723560 428012984 535016230 611447120 856025968 1070032460 2140064920 4280129840