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5741322240 = 2133546723
BaseRepresentation
bin1010101100011010…
…11010000000000000
3112211010022101111110
411112031122000000
543224234302430
62345412243320
7262163301543
oct52615320000
915733271443
105741322240
112486910415
121142910540
137066085c4
143c671485a
1523908c7b0
hex15635a000

5741322240 has 112 divisors (see below), whose sum is σ = 18371503008. Its totient is φ = 1530986496.

The previous prime is 5741322221. The next prime is 5741322253. The reversal of 5741322240 is 422231475.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5741322198 and 5741322207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99519 + ... + 146241.

Almost surely, 25741322240 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 5741322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9185751504).

5741322240 is an abundant number, since it is smaller than the sum of its proper divisors (12630180768).

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

5741322240 is an equidigital number, since it uses as much as digits as its factorization.

5741322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46757 (or 46733 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 5741322240 is about 75771.5133806894. The cubic root of 5741322240 is about 1790.6222403157.

The spelling of 5741322240 in words is "five billion, seven hundred forty-one million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 20480 24576 30720 40960 46723 61440 93446 122880 140169 186892 233615 280338 373784 467230 560676 700845 747568 934460 1121352 1401690 1495136 1868920 2242704 2803380 2990272 3737840 4485408 5606760 5980544 7475680 8970816 11213520 11961088 14951360 17941632 22427040 23922176 29902720 35883264 44854080 47844352 59805440 71766528 89708160 95688704 119610880 143533056 179416320 191377408 239221760 287066112 358832640 382754816 478443520 574132224 717665280 956887040 1148264448 1435330560 1913774080 2870661120 5741322240