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114724595472 = 243171031499161
BaseRepresentation
bin110101011011000011…
…1100110011100010000
3101222010100120021221120
41222312013212130100
53334423444023342
6124412002122240
711200660654164
oct1526607463420
9358110507846
10114724595472
1144722052673
121a299050380
13aa8428ca26
1457a4874ca4
152eb6c9caec
hex1ab61e6710

114724595472 has 160 divisors (see below), whose sum is σ = 319013510400. Its totient is φ = 35399516160.

The previous prime is 114724595459. The next prime is 114724595497. The reversal of 114724595472 is 274595427411.

114724595472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 12518572 + ... + 12527732.

It is an arithmetic number, because the mean of its divisors is an integer number (1993834440).

Almost surely, 2114724595472 is an apocalyptic number.

114724595472 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 114724595472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159506755200).

114724595472 is an abundant number, since it is smaller than the sum of its proper divisors (204288914928).

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

114724595472 is a wasteful number, since it uses less digits than its factorization.

114724595472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9441 (or 9435 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The spelling of 114724595472 in words is "one hundred fourteen billion, seven hundred twenty-four million, five hundred ninety-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 103 136 149 204 206 272 298 309 408 412 447 596 618 816 824 894 1192 1236 1648 1751 1788 2384 2472 2533 3502 3576 4944 5066 5253 7004 7152 7599 9161 10132 10506 14008 15198 15347 18322 20264 21012 27483 28016 30396 30694 36644 40528 42024 46041 54966 60792 61388 73288 84048 92082 109932 121584 122776 146576 155737 184164 219864 245552 260899 311474 368328 439728 467211 521798 622948 736656 782697 934422 943583 1043596 1245896 1364989 1565394 1868844 1887166 2087192 2491792 2729978 2830749 3130788 3737688 3774332 4094967 4174384 5459956 5661498 6261576 7475376 7548664 8189934 10919912 11322996 12523152 15097328 16040911 16379868 21839824 22645992 23204813 32081822 32759736 45291984 46409626 48122733 64163644 65519472 69614439 92819252 96245466 128327288 139228878 140593867 185638504 192490932 256654576 278457756 281187734 371277008 384981864 421781601 556915512 562375468 769963728 843563202 1113831024 1124750936 1687126404 2249501872 2390095739 3374252808 4780191478 6748505616 7170287217 9560382956 14340574434 19120765912 28681148868 38241531824 57362297736 114724595472