Search a number
-
+
5314502365425 = 32521131630110993
BaseRepresentation
bin100110101010110000100…
…0001101001000011110001
3200211001122210210122112200
41031111201001221003301
51144033100101143200
615145240525413413
71055650215521331
oct115254101510361
920731583718480
105314502365425
111769960044630
12719ba010a269
132c7203604696
1414531a9b10c1
1593398197800
hex4d5610690f1

5314502365425 has 144 divisors (see below), whose sum is σ = 10721866661376. Its totient is φ = 2492985600000.

The previous prime is 5314502365391. The next prime is 5314502365427. The reversal of 5314502365425 is 5245632054135.

5314502365425 is a `hidden beast` number, since 5 + 3 + 145 + 0 + 23 + 65 + 425 = 666.

It is not a de Polignac number, because 5314502365425 - 234 = 5297322496241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5314502365427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 483438729 + ... + 483449721.

Almost surely, 25314502365425 is an apocalyptic number.

5314502365425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5314502365425 is an abundant number, since it is smaller than the sum of its proper divisors (5407364295951).

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

5314502365425 is a wasteful number, since it uses less digits than its factorization.

5314502365425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17352 (or 17344 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 5314502365425 in words is "five trillion, three hundred fourteen billion, five hundred two million, three hundred sixty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 31 33 45 55 75 93 99 155 165 225 275 279 341 465 495 775 825 1023 1395 1705 2325 2475 3069 5115 6301 6975 8525 10993 15345 18903 25575 31505 32979 54965 56709 69311 76725 94515 98937 120923 157525 164895 195331 207933 274825 283545 340783 346555 362769 472575 494685 585993 604615 623799 824475 976655 1022349 1039665 1088307 1417725 1703915 1732775 1757979 1813845 2148641 2473425 2929965 3023075 3067047 3118995 3748613 4883275 5111745 5198325 5441535 6445923 8519575 8789895 9069225 10743205 11245839 14649825 15335235 15594975 18743065 19337769 25558725 27207675 32229615 33737517 43949475 53716025 56229195 69266893 76676175 93715325 96688845 161148075 168687585 207800679 281145975 346334465 483444225 623402037 761935823 843437925 1039003395 1731672325 2147273683 2285807469 3117010185 3809679115 5195016975 6441821049 6857422407 10736368415 11429037345 15585050925 19048395575 19325463147 23620010513 32209105245 34287112035 53681842075 57145186725 70860031539 96627315735 118100052565 161045526225 171435560175 212580094617 354300157695 483136578675 590500262825 1062900473085 1771500788475 5314502365425