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102440114420 = 22572314397681
BaseRepresentation
bin101111101100111101…
…0000001100011110100
3100210102020010222221212
41133121322001203310
53134244132130140
6115021011100552
710254363414500
oct1373172014364
9323366128855
10102440114420
113a498857196
1217a2aba1758
139877202027
144d5b163300
1529e8586765
hex17d9e818f4

102440114420 has 144 divisors (see below), whose sum is σ = 258941168640. Its totient is φ = 33907507200.

The previous prime is 102440114407. The next prime is 102440114467. The reversal of 102440114420 is 24411044201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13332980 + ... + 13340660.

It is an arithmetic number, because the mean of its divisors is an integer number (1798202560).

Almost surely, 2102440114420 is an apocalyptic number.

102440114420 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 102440114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129470584320).

102440114420 is an abundant number, since it is smaller than the sum of its proper divisors (156501054220).

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

102440114420 is a wasteful number, since it uses less digits than its factorization.

102440114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 102440114420 its reverse (24411044201), we get a palindrome (126851158621).

The spelling of 102440114420 in words is "one hundred two billion, four hundred forty million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 439 490 620 868 878 980 1085 1519 1756 2170 2195 3038 3073 4340 4390 6076 6146 7595 7681 8780 12292 13609 15190 15362 15365 21511 27218 30380 30724 30730 38405 43022 53767 54436 61460 68045 76810 86044 95263 107534 107555 136090 153620 190526 215068 215110 238111 268835 272180 376369 381052 430220 476222 476315 537670 666841 752738 952444 952630 1075340 1190555 1333682 1505476 1666777 1881845 1905260 2381110 2667364 3333554 3334205 3371959 3763690 4762220 6667108 6668410 6743918 7527380 8333885 11667439 13336820 13487836 16667770 16859795 23334878 23603713 33335540 33719590 46669756 47207426 58337195 67439180 94414852 104530729 116674390 118018565 165225991 209061458 233348780 236037130 330451982 418122916 472074260 522653645 660903964 731715103 826129955 1045307290 1463430206 1652259910 2090614580 2926860412 3304519820 3658575515 5122005721 7317151030 10244011442 14634302060 20488022884 25610028605 51220057210 102440114420