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14201675488 = 2572111363337
BaseRepresentation
bin11010011100111110…
…00101111011100000
31100122201221212100001
431032133011323200
5213041112103423
610305115105344
71011634151500
oct151637057340
940581855301
1014201675488
116028525aa0
122904142254
1314543319a0
1498a1b3a00
15581bbdcad
hex34e7c5ee0

14201675488 has 144 divisors (see below), whose sum is σ = 38211055344. Its totient is φ = 5107415040.

The previous prime is 14201675483. The next prime is 14201675513. The reversal of 14201675488 is 88457610241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201675483) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 192556 + ... + 255892.

It is an arithmetic number, because the mean of its divisors is an integer number (265354551).

Almost surely, 214201675488 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 14201675488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105527672).

14201675488 is an abundant number, since it is smaller than the sum of its proper divisors (24009379856).

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

14201675488 is a wasteful number, since it uses less digits than its factorization.

14201675488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63385 (or 63370 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 14201675488 in words is "fourteen billion, two hundred one million, six hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 224 286 308 352 364 392 416 539 572 616 637 728 784 1001 1078 1144 1232 1274 1456 1568 2002 2156 2288 2464 2548 2912 4004 4312 4576 5096 7007 8008 8624 10192 14014 16016 17248 20384 28028 32032 56056 63337 112112 126674 224224 253348 443359 506696 696707 823381 886718 1013392 1393414 1646762 1773436 2026784 2786828 3103513 3293524 3546872 4876949 5573656 5763667 6207026 6587048 7093744 9057191 9753898 11147312 11527334 12414052 13174096 14187488 18114382 19507796 22294624 23054668 24828104 26348192 34138643 36228764 39015592 40345669 46109336 49656208 63400337 68277286 72457528 78031184 80691338 92218672 99312416 126800674 136554572 144915056 156062368 161382676 184437344 253601348 273109144 289830112 322765352 443802359 507202696 546218288 645530704 887604718 1014405392 1092436576 1291061408 1775209436 2028810784 3550418872 7100837744 14201675488