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5340116440 = 2351973101953
BaseRepresentation
bin1001111100100101…
…11011010111011000
3111210011101000121101
410332102323113120
541414032211230
62241521121144
7246222145411
oct47622732730
914704330541
105340116440
1122a03a157a
1210504891b4
13671464219
14389318808
15213c3baca
hex13e4bb5d8

5340116440 has 128 divisors (see below), whose sum is σ = 12961425600. Its totient is φ = 1974067200.

The previous prime is 5340116437. The next prime is 5340116489. The reversal of 5340116440 is 446110435.

It is a junction number, because it is equal to n+sod(n) for n = 5340116399 and 5340116408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5603004 + ... + 5603956.

Almost surely, 25340116440 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 5340116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480712800).

5340116440 is an abundant number, since it is smaller than the sum of its proper divisors (7621309160).

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

5340116440 is a wasteful number, since it uses less digits than its factorization.

5340116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5340116440 is about 73076.1003338301. The cubic root of 5340116440 is about 1747.9013143637.

Adding to 5340116440 its reverse (446110435), we get a palindrome (5786226875).

The spelling of 5340116440 in words is "five billion, three hundred forty million, one hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 73 76 95 101 146 152 190 202 292 365 380 404 505 584 730 760 808 953 1010 1387 1460 1906 1919 2020 2774 2920 3812 3838 4040 4765 5548 6935 7373 7624 7676 9530 9595 11096 13870 14746 15352 18107 19060 19190 27740 29492 36214 36865 38120 38380 55480 58984 69569 72428 73730 76760 90535 96253 139138 140087 144856 147460 181070 192506 278276 280174 294920 347845 362140 385012 481265 556552 560348 695690 700435 724280 770024 962530 1120696 1321811 1391380 1400870 1828807 1925060 2643622 2782760 2801740 3657614 3850120 5287244 5603480 6609055 7026469 7315228 9144035 10574488 13218110 14052938 14630456 18288070 26436220 28105876 35132345 36576140 52872440 56211752 70264690 73152280 133502911 140529380 267005822 281058760 534011644 667514555 1068023288 1335029110 2670058220 5340116440