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9414014976 = 211322392137
BaseRepresentation
bin10001100010001111…
…00111100000000000
3220022002010111210100
420301013213200000
5123234441434401
64154051002400
7452200543542
oct106107474000
926262114710
109414014976
113aa0a69873
1219a8899400
13b7048aa82
146543c7692
153a170cb86
hex2311e7800

9414014976 has 144 divisors (see below), whose sum is σ = 27315943200. Its totient is φ = 3123412992.

The previous prime is 9414014963. The next prime is 9414014999. The reversal of 9414014976 is 6794104149.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4404180 + ... + 4406316.

It is an arithmetic number, because the mean of its divisors is an integer number (189694050).

Almost surely, 29414014976 is an apocalyptic number.

9414014976 is a gapful number since it is divisible by the number (96) 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 9414014976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657971600).

9414014976 is an abundant number, since it is smaller than the sum of its proper divisors (17901928224).

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

9414014976 is a wasteful number, since it uses less digits than its factorization.

9414014976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9414014976 is about 97025.8469481200. The cubic root of 9414014976 is about 2111.5026377045.

The spelling of 9414014976 in words is "nine billion, four hundred fourteen million, fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 256 288 384 478 512 576 717 768 956 1024 1152 1434 1536 1912 2048 2137 2151 2304 2868 3072 3824 4274 4302 4608 5736 6144 6411 7648 8548 8604 9216 11472 12822 15296 17096 17208 18432 19233 22944 25644 30592 34192 34416 38466 45888 51288 61184 68384 68832 76932 91776 102576 122368 136768 137664 153864 183552 205152 244736 273536 275328 307728 367104 410304 489472 510743 547072 550656 615456 734208 820608 1021486 1094144 1101312 1230912 1468416 1532229 1641216 2042972 2188288 2202624 2461824 3064458 3282432 4085944 4376576 4405248 4596687 4923648 6128916 6564864 8171888 9193374 9847296 12257832 13129728 16343776 18386748 19694592 24515664 32687552 36773496 39389184 49031328 65375104 73546992 98062656 130750208 147093984 196125312 261500416 294187968 392250624 523000832 588375936 784501248 1046001664 1176751872 1569002496 2353503744 3138004992 4707007488 9414014976