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5459145440 = 255714932713
BaseRepresentation
bin1010001010110001…
…11111001011100000
3112002110100022200212
411011120333023200
542140020123230
62301412233252
7252165653630
oct50530771340
915073308625
105459145440
1123515aa851
12108430b828
1369000b198
1439b0606c0
1521e3ee895
hex14563f2e0

5459145440 has 96 divisors (see below), whose sum is σ = 14839070400. Its totient is φ = 1859088384.

The previous prime is 5459145409. The next prime is 5459145463. The reversal of 5459145440 is 445419545.

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, 150524 + ... + 183236.

It is an arithmetic number, because the mean of its divisors is an integer number (154573650).

Almost surely, 25459145440 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 5459145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419535200).

5459145440 is an abundant number, since it is smaller than the sum of its proper divisors (9379924960).

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

5459145440 is a wasteful number, since it uses less digits than its factorization.

5459145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32884 (or 32876 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The square root of 5459145440 is about 73886.0300733501. The cubic root of 5459145440 is about 1760.7926698028.

The spelling of 5459145440 in words is "five billion, four hundred fifty-nine million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 149 160 224 280 298 560 596 745 1043 1120 1192 1490 2086 2384 2980 4172 4768 5215 5960 8344 10430 11920 16688 20860 23840 32713 33376 41720 65426 83440 130852 163565 166880 228991 261704 327130 457982 523408 654260 915964 1046816 1144955 1308520 1831928 2289910 2617040 3663856 4579820 4874237 5234080 7327712 9159640 9748474 18319280 19496948 24371185 34119659 36638560 38993896 48742370 68239318 77987792 97484740 136478636 155975584 170598295 194969480 272957272 341196590 389938960 545914544 682393180 779877920 1091829088 1364786360 2729572720 5459145440