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114124235440 = 245172327113463
BaseRepresentation
bin110101001001001010…
…1011010001010110000
3101220120111212211210211
41222102111122022300
53332211301013230
6124232234233504
711150050665325
oct1522225321260
9356514784724
10114124235440
1144444179256
121a14bb85894
13a9b9a992c7
145748c36b4c
152e7e20d42a
hex1a9255a2b0

114124235440 has 160 divisors (see below), whose sum is σ = 294265737216. Its totient is φ = 40941711360.

The previous prime is 114124235413. The next prime is 114124235447. The reversal of 114124235440 is 44532421411.

It is a happy number.

It is a super-2 number, since 2×1141242354402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114124235447) 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, 8470149 + ... + 8483611.

Almost surely, 2114124235440 is an apocalyptic number.

114124235440 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 114124235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147132868608).

114124235440 is an abundant number, since it is smaller than the sum of its proper divisors (180141501776).

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

114124235440 is a wasteful number, since it uses less digits than its factorization.

114124235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13787 (or 13781 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 114124235440 its reverse (44532421411), we get a palindrome (158656656851).

The spelling of 114124235440 in words is "one hundred fourteen billion, one hundred twenty-four million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 271 272 340 368 391 460 542 680 782 920 1084 1355 1360 1564 1840 1955 2168 2710 3128 3910 4336 4607 5420 6233 6256 7820 9214 10840 12466 13463 15640 18428 21680 23035 24932 26926 31165 31280 36856 46070 49864 53852 62330 67315 73712 92140 99728 105961 107704 124660 134630 184280 211922 215408 228871 249320 269260 309649 368560 423844 457742 498640 529805 538520 619298 847688 915484 1059610 1077040 1144355 1238596 1548245 1695376 1830968 2119220 2288710 2477192 3096490 3648473 3661936 4238440 4577420 4954384 5264033 6192980 7296946 8476880 9154840 10528066 12385960 14593892 18242365 18309680 21056132 24771920 26320165 29187784 36484730 42112264 52640330 58375568 62024041 72969460 83914879 84224528 105280660 124048082 145938920 167829758 210561320 248096164 291877840 310120205 335659516 419574395 421122640 496192328 620240410 671319032 839148790 992384656 1240480820 1342638064 1426552943 1678297580 2480961640 2853105886 3356595160 4961923280 5706211772 6713190320 7132764715 11412423544 14265529430 22824847088 28531058860 57062117720 114124235440