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34214242141100 = 22527353612122621
BaseRepresentation
bin1111100011110000111111…
…01111111100001110101100
311111010211221100202212122002
413301320133233330032230
513441031231442003400
6200433450021511432
710130616546505520
oct761703757741654
9144124840685562
1034214242141100
11a9a11a67a826a
123a06b48572578
13161250a086278
14863d9a0b5d80
153e4ece71bed5
hex1f1e1fbfc3ac

34214242141100 has 144 divisors (see below), whose sum is σ = 85109356360896. Its totient is φ = 11694938112000.

The previous prime is 34214242141091. The next prime is 34214242141127. The reversal of 34214242141100 is 114124241243.

It is a super-2 number, since 2×342142421411002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1512487790 + ... + 1512510410.

Almost surely, 234214242141100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34214242141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42554678180448).

34214242141100 is an abundant number, since it is smaller than the sum of its proper divisors (50895114219796).

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

34214242141100 is a wasteful number, since it uses less digits than its factorization.

34214242141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29116 (or 29109 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 34214242141100 its reverse (114124241243), we get a palindrome (34328366382343).

The spelling of 34214242141100 in words is "thirty-four trillion, two hundred fourteen billion, two hundred forty-two million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 353 700 706 1412 1765 2471 3530 4942 6121 7060 8825 9884 12242 12355 17650 22621 24484 24710 30605 35300 42847 45242 49420 61210 61775 85694 90484 113105 122420 123550 153025 158347 171388 214235 226210 247100 306050 316694 428470 452420 565525 612100 633388 791735 856940 1071175 1131050 1583470 2142350 2160713 2262100 3166940 3958675 4284700 4321426 7917350 7985213 8642852 10803565 15124991 15834700 15970426 21607130 30249982 31940852 39926065 43214260 54017825 55896491 60499964 75624955 79852130 108035650 111792982 138463141 151249910 159704260 199630325 216071300 223585964 276926282 279482455 302499820 378124775 399260650 553852564 558964910 692315705 756249550 798521300 969241987 1117929820 1384631410 1397412275 1512499100 1938483974 2769262820 2794824550 3461578525 3876967948 4846209935 5589649100 6923157050 9692419870 13846314100 19384839740 24231049675 48462099350 48877488773 96924198700 97754977546 195509955092 244387443865 342142421411 488774887730 684284842822 977549775460 1221937219325 1368569685644 1710712107055 2443874438650 3421424214110 4887748877300 6842848428220 8553560535275 17107121070550 34214242141100