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114672272880 = 243511214320269
BaseRepresentation
bin110101011001100000…
…0000000010111110000
3101221222201010000211210
41222303000000113300
53334322100213010
6124402452440120
711166454144164
oct1526300002760
9357881100753
10114672272880
11446a5565960
121a283619040
13aa764a0409
14579b934ca4
152eb23b4b20
hex1ab30005f0

114672272880 has 160 divisors (see below), whose sum is σ = 388000880640. Its totient is φ = 27784995840.

The previous prime is 114672272879. The next prime is 114672272893. The reversal of 114672272880 is 88272276411.

114672272880 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 (48).

It is a congruent number.

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, 5647386 + ... + 5667654.

It is an arithmetic number, because the mean of its divisors is an integer number (2425005504).

Almost surely, 2114672272880 is an apocalyptic number.

114672272880 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 114672272880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194000440320).

114672272880 is an abundant number, since it is smaller than the sum of its proper divisors (273328607760).

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

114672272880 is a wasteful number, since it uses less digits than its factorization.

114672272880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22439 (or 22433 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 114672272880 in words is "one hundred fourteen billion, six hundred seventy-two million, two hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2143 2640 4286 6429 8572 10715 12858 17144 20269 21430 23573 25716 32145 34288 40538 42860 47146 51432 60807 64290 70719 81076 85720 94292 101345 102864 117865 121614 128580 141438 162152 171440 188584 202690 222959 235730 243228 257160 282876 304035 324304 353595 377168 405380 445918 471460 486456 514320 565752 608070 668877 707190 810760 891836 942920 972912 1114795 1131504 1216140 1337754 1414380 1621520 1783672 1885840 2229590 2432280 2675508 2828760 3344385 3567344 4459180 4864560 5351016 5657520 6688770 8918360 10702032 13377540 17836720 26755080 43436467 53510160 86872934 130309401 173745868 217182335 260618802 347491736 434364670 477801137 521237604 651547005 694983472 868729340 955602274 1042475208 1303094010 1433403411 1737458680 1911204548 2084950416 2389005685 2606188020 2866806822 3474917360 3822409096 4778011370 5212376040 5733613644 7167017055 7644818192 9556022740 10424752080 11467227288 14334034110 19112045480 22934454576 28668068220 38224090960 57336136440 114672272880