Search a number
-
+
14949011160 = 2333531144507
BaseRepresentation
bin11011110110000011…
…11100111011011000
31102120211012110011000
431323001330323120
5221103421324120
610511213105000
71036310332626
oct157301747330
942524173130
1014949011160
116381366386
122a92488160
131543105845
14a1b550516
155c75e1990
hex37b07ced8

14949011160 has 128 divisors (see below), whose sum is σ = 49991385600. Its totient is φ = 3973495680.

The previous prime is 14949011153. The next prime is 14949011167. The reversal of 14949011160 is 6111094941.

14949011160 is a `hidden beast` number, since 1 + 4 + 9 + 490 + 1 + 1 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (14949011153) and next prime (14949011167).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14949011167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313627 + ... + 358133.

It is an arithmetic number, because the mean of its divisors is an integer number (390557700).

Almost surely, 214949011160 is an apocalyptic number.

14949011160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14949011160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24995692800).

14949011160 is an abundant number, since it is smaller than the sum of its proper divisors (35042374440).

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

14949011160 is a wasteful number, since it uses less digits than its factorization.

14949011160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44838 (or 44828 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 14949011160 in words is "fourteen billion, nine hundred forty-nine million, eleven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 311 360 540 622 933 1080 1244 1555 1866 2488 2799 3110 3732 4665 5598 6220 7464 8397 9330 11196 12440 13995 16794 18660 22392 27990 33588 37320 41985 44507 55980 67176 83970 89014 111960 133521 167940 178028 222535 267042 335880 356056 400563 445070 534084 667605 801126 890140 1068168 1201689 1335210 1602252 1780280 2002815 2403378 2670420 3204504 4005630 4806756 5340840 6008445 8011260 9613512 12016890 13841677 16022520 24033780 27683354 41525031 48067560 55366708 69208385 83050062 110733416 124575093 138416770 166100124 207625155 249150186 276833540 332200248 373725279 415250310 498300372 553667080 622875465 747450558 830500620 996600744 1245750930 1494901116 1661001240 1868626395 2491501860 2989802232 3737252790 4983003720 7474505580 14949011160