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4145466320 = 245173198327
BaseRepresentation
bin1111011100010110…
…1100101111010000
3101200220102111201122
43313011230233100
531442214410240
61523203421412
7204504611432
oct36705545720
911626374648
104145466320
11183800a226
12978384868
13510ac3b68
142b47bc652
15193e0b4b5
hexf716cbd0

4145466320 has 80 divisors (see below), whose sum is σ = 10534468608. Its totient is φ = 1510287360.

The previous prime is 4145466313. The next prime is 4145466331. The reversal of 4145466320 is 236645414.

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

It is a congruent number.

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, 7004 + ... + 91323.

Almost surely, 24145466320 is an apocalyptic number.

4145466320 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 4145466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267234304).

4145466320 is an abundant number, since it is smaller than the sum of its proper divisors (6389002288).

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

4145466320 is a wasteful number, since it uses less digits than its factorization.

4145466320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98388 (or 98382 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 4145466320 is about 64385.2958368601. The cubic root of 4145466320 is about 1606.4151711933.

The spelling of 4145466320 in words is "four billion, one hundred forty-five million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 5270 8432 10540 21080 42160 98327 196654 393308 491635 786616 983270 1573232 1671559 1966540 3048137 3343118 3933080 6096274 6686236 7866160 8357795 12192548 13372472 15240685 16715590 24385096 26744944 30481370 33431180 48770192 51818329 60962740 66862360 103636658 121925480 133724720 207273316 243850960 259091645 414546632 518183290 829093264 1036366580 2072733160 4145466320