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1444727472 = 2431931137373
BaseRepresentation
bin101011000011100…
…1100101010110000
310201200111202111220
41112013030222300
510424322234342
6355205305040
750541660306
oct12607145260
93650452456
101444727472
11681569151
12343a05180
131a040c036
14d9c36276
1586c7c5ec
hex561ccab0

1444727472 has 160 divisors (see below), whose sum is σ = 4095928320. Its totient is φ = 437114880.

The previous prime is 1444727461. The next prime is 1444727483. The reversal of 1444727472 is 2747274441.

It is an interprime number because it is at equal distance from previous prime (1444727461) and next prime (1444727483).

It is a super-3 number, since 3×14447274723 (a number of 28 digits) contains 333 as substring.

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, 3873078 + ... + 3873450.

It is an arithmetic number, because the mean of its divisors is an integer number (25599552).

Almost surely, 21444727472 is an apocalyptic number.

1444727472 is a gapful number since it is divisible by the number (12) 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 1444727472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047964160).

1444727472 is an abundant number, since it is smaller than the sum of its proper divisors (2651200848).

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

1444727472 is a wasteful number, since it uses less digits than its factorization.

1444727472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its digits is 351232, while the sum is 42.

The square root of 1444727472 is about 38009.5707947354. The cubic root of 1444727472 is about 1130.4776407691.

The spelling of 1444727472 in words is "one billion, four hundred forty-four million, seven hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 137 152 186 228 248 274 304 372 373 411 456 496 548 589 744 746 822 912 1096 1119 1178 1488 1492 1644 1767 2192 2238 2356 2603 2984 3288 3534 4247 4476 4712 5206 5968 6576 7068 7087 7809 8494 8952 9424 10412 11563 12741 14136 14174 15618 16988 17904 20824 21261 23126 25482 28272 28348 31236 33976 34689 41648 42522 46252 50964 51101 56696 62472 67952 69378 80693 85044 92504 101928 102202 113392 124944 138756 153303 161386 170088 185008 203856 204404 219697 242079 277512 306606 322772 340176 408808 439394 484158 555024 613212 645544 659091 817616 878788 968316 970919 1226424 1291088 1318182 1584131 1757576 1936632 1941838 2452848 2636364 2912757 3168262 3515152 3873264 3883676 4752393 5272728 5825514 6336524 7767352 9504786 10545456 11651028 12673048 15534704 19009572 23302056 25346096 30098489 38019144 46604112 60196978 76038288 90295467 120393956 180590934 240787912 361181868 481575824 722363736 1444727472