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9714828440 = 2351960121269
BaseRepresentation
bin10010000110000110…
…01000010010011000
3221002001011102021202
421003003020102120
5124343444002230
64243554253332
7462512451662
oct110303102230
927061142252
109714828440
114135849439
121a71587248
13bba8b1bc5
1468232d532
153bcd2ca45
hex2430c8498

9714828440 has 64 divisors (see below), whose sum is σ = 23048172000. Its totient is φ = 3675110400.

The previous prime is 9714828401. The next prime is 9714828443. The reversal of 9714828440 is 448284179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9714828443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446126 + ... + 467394.

Almost surely, 29714828440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9714828440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524086000).

9714828440 is an abundant number, since it is smaller than the sum of its proper divisors (13333343560).

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

9714828440 is a wasteful number, since it uses less digits than its factorization.

9714828440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21900 (or 21896 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 9714828440 is about 98563.8292681448. The cubic root of 9714828440 is about 2133.7574240434.

The spelling of 9714828440 in words is "nine billion, seven hundred fourteen million, eight hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 601 760 1202 2404 3005 4808 6010 11419 12020 21269 22838 24040 42538 45676 57095 85076 91352 106345 114190 170152 212690 228380 404111 425380 456760 808222 850760 1616444 2020555 3232888 4041110 8082220 12782669 16164440 25565338 51130676 63913345 102261352 127826690 242870711 255653380 485741422 511306760 971482844 1214353555 1942965688 2428707110 4857414220 9714828440