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5409172440 = 233357715499
BaseRepresentation
bin1010000100110100…
…10110101111011000
3111221222022102122000
411002122112233120
542034222004230
62252425201000
7251021131020
oct50232265730
914858272560
105409172440
112326378351
12106b630160
13682862169
14394572a80
15219d2cb60
hex142696bd8

5409172440 has 128 divisors (see below), whose sum is σ = 20606400000. Its totient is φ = 1236380544.

The previous prime is 5409172397. The next prime is 5409172471. The reversal of 5409172440 is 442719045.

It is a happy number.

5409172440 is a `hidden beast` number, since 5 + 40 + 9 + 172 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5409172395 and 5409172404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350190 + ... + 365309.

It is an arithmetic number, because the mean of its divisors is an integer number (160987500).

Almost surely, 25409172440 is an apocalyptic number.

It is an amenable number.

5409172440 is an abundant number, since it is smaller than the sum of its proper divisors (15197227560).

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

5409172440 is a wasteful number, since it uses less digits than its factorization.

5409172440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715526 (or 715516 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5409172440 is about 73547.0763524968. The cubic root of 5409172440 is about 1755.4034283306.

The spelling of 5409172440 in words is "five billion, four hundred nine million, one hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 715499 1430998 2146497 2861996 3577495 4292994 5008493 5723992 6439491 7154990 8585988 10016986 10732485 12878982 14309980 15025479 17171976 19318473 20033972 21464970 25042465 25757964 28619960 30050958 32197455 38636946 40067944 42929940 45076437 50084930 51515928 60101916 64394910 75127395 77273892 85859880 90152874 96592365 100169860 120203832 128789820 135229311 150254790 154547784 180305748 193184730 200339720 225382185 257579640 270458622 300509580 360611496 386369460 450764370 540917244 601019160 676146555 772738920 901528740 1081834488 1352293110 1803057480 2704586220 5409172440