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114068040576 = 273742436027
BaseRepresentation
bin110101000111011111…
…1000010101110000000
3101220102121010211221120
41222032333002232000
53332102404244301
6124222505552240
711145466230030
oct1521677025600
9356377124846
10114068040576
1144415487216
121a1351a5680
13a9ab2522c9
1457415a98c0
152e7930ce36
hex1a8efc2b80

114068040576 has 64 divisors (see below), whose sum is σ = 346277988480. Its totient is φ = 32590867968.

The previous prime is 114068040533. The next prime is 114068040599. The reversal of 114068040576 is 675040860411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21215326 + ... + 21220701.

It is an arithmetic number, because the mean of its divisors is an integer number (5410593570).

Almost surely, 2114068040576 is an apocalyptic number.

114068040576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114068040576 is an abundant number, since it is smaller than the sum of its proper divisors (232209947904).

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

114068040576 is an equidigital number, since it uses as much as digits as its factorization.

114068040576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42436051 (or 42436039 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 114068040576 in words is "one hundred fourteen billion, sixty-eight million, forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 42436027 84872054 127308081 169744108 254616162 297052189 339488216 509232324 594104378 678976432 891156567 1018464648 1188208756 1357952864 1782313134 2036929296 2376417512 2715905728 3564626268 4073858592 4752835024 5431811456 7129252536 8147717184 9505670048 14258505072 16295434368 19011340096 28517010144 38022680192 57034020288 114068040576