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14434652848 = 2473111571523
BaseRepresentation
bin11010111000101111…
…10101001010110000
31101020222100100012011
431130113311022300
5214030232342343
610344200412304
71020463345000
oct153427651260
941228310164
1014434652848
116137a92370
12296a177094
131490694205
149ad0dc000
1559738e29d
hex35c5f52b0

14434652848 has 160 divisors (see below), whose sum is σ = 35829849600. Its totient is φ = 5584400640.

The previous prime is 14434652839. The next prime is 14434652851. The reversal of 14434652848 is 84825643441.

It is a super-2 number, since 2×144346528482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9477015 + ... + 9478537.

It is an arithmetic number, because the mean of its divisors is an integer number (223936560).

Almost surely, 214434652848 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 14434652848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914924800).

14434652848 is an abundant number, since it is smaller than the sum of its proper divisors (21395196752).

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

14434652848 is a wasteful number, since it uses less digits than its factorization.

14434652848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1700 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 49.

The spelling of 14434652848 in words is "fourteen billion, four hundred thirty-four million, six hundred fifty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 157 176 196 308 314 343 392 539 616 628 686 784 1078 1099 1232 1256 1372 1523 1727 2156 2198 2512 2744 3046 3454 3773 4312 4396 5488 6092 6908 7546 7693 8624 8792 10661 12089 12184 13816 15092 15386 16753 17584 21322 24178 24368 27632 30184 30772 33506 42644 48356 53851 60368 61544 67012 74627 84623 85288 96712 107702 117271 123088 134024 149254 169246 170576 193424 215404 234542 239111 268048 298508 338492 430808 469084 478222 522389 592361 597016 676984 820897 861616 938168 956444 1044778 1184722 1194032 1353968 1641794 1673777 1876336 1912888 2089556 2369444 2630221 3283588 3347554 3825776 4179112 4738888 5260442 5746279 6567176 6695108 8358224 9477776 10520884 11492558 11716439 13134352 13390216 18411547 21041768 22985116 23432878 26780432 36823094 42083536 45970232 46865756 73646188 82015073 91940464 93731512 128880829 147292376 164030146 187463024 257761658 294584752 328060292 515523316 656120584 902165803 1031046632 1312241168 1804331606 2062093264 3608663212 7217326424 14434652848