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5314298640 = 243574177153
BaseRepresentation
bin1001111001100000…
…11100001100010000
3111201100210100020120
410330300130030100
541340430024030
62235155510240
7245456536020
oct47460341420
914640710216
105314298640
112287868252
1210438b8380
13668cc4a11
14385b17a80
1521183c010
hex13cc1c310

5314298640 has 160 divisors (see below), whose sum is σ = 19287265536. Its totient is φ = 1185054720.

The previous prime is 5314298609. The next prime is 5314298653. The reversal of 5314298640 is 468924135.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5314298592 and 5314298601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30304 + ... + 107456.

Almost surely, 25314298640 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 5314298640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9643632768).

5314298640 is an abundant number, since it is smaller than the sum of its proper divisors (13972966896).

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

5314298640 is a wasteful number, since it uses less digits than its factorization.

5314298640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77217 (or 77211 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 5314298640 is about 72899.2362099906. The cubic root of 5314298640 is about 1745.0799097513.

The spelling of 5314298640 in words is "five billion, three hundred fourteen million, two hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2296 2460 2870 3280 3444 4305 4592 4920 5740 6888 8610 9840 11480 13776 17220 22960 34440 68880 77153 154306 231459 308612 385765 462918 540071 617224 771530 925836 1080142 1157295 1234448 1543060 1620213 1851672 2160284 2314590 2700355 3086120 3163273 3240426 3703344 4320568 4629180 5400710 6172240 6326546 6480852 8101065 8641136 9258360 9489819 10801420 12653092 12961704 15816365 16202130 18516720 18979638 21602840 22142911 25306184 25923408 31632730 32404260 37959276 43205680 44285822 47449095 50612368 63265460 64808520 66428733 75918552 88571644 94898190 110714555 126530920 129617040 132857466 151837104 177143288 189796380 221429110 253061840 265714932 332143665 354286576 379592760 442858220 531429864 664287330 759185520 885716440 1062859728 1328574660 1771432880 2657149320 5314298640