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7214447440 = 245196770841
BaseRepresentation
bin1101011100000001…
…11011101101010000
3200121210020220101001
412232000323231100
5104233344304230
63151514351344
7343531535314
oct65600735520
920553226331
107214447440
113072405162
12149412b554
138ac87b215
144c621db44
152c35790ca
hex1ae03bb50

7214447440 has 80 divisors (see below), whose sum is σ = 17920192320. Its totient is φ = 2693053440.

The previous prime is 7214447413. The next prime is 7214447477. The reversal of 7214447440 is 447444127.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7214447440.

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, 66420 + ... + 137260.

It is an arithmetic number, because the mean of its divisors is an integer number (224002404).

Almost surely, 27214447440 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 7214447440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960096160).

7214447440 is an abundant number, since it is smaller than the sum of its proper divisors (10705744880).

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

7214447440 is a wasteful number, since it uses less digits than its factorization.

7214447440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70940 (or 70934 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 37.

The square root of 7214447440 is about 84937.9034353921. The cubic root of 7214447440 is about 1932.2694664772.

The spelling of 7214447440 in words is "seven billion, two hundred fourteen million, four hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 67 76 80 95 134 152 190 268 304 335 380 536 670 760 1072 1273 1340 1520 2546 2680 5092 5360 6365 10184 12730 20368 25460 50920 70841 101840 141682 283364 354205 566728 708410 1133456 1345979 1416820 2691958 2833640 4746347 5383916 5667280 6729895 9492694 10767832 13459790 18985388 21535664 23731735 26919580 37970776 47463470 53839160 75941552 90180593 94926940 107678320 180361186 189853880 360722372 379707760 450902965 721444744 901805930 1442889488 1803611860 3607223720 7214447440