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14125574441100 = 22352253911854407
BaseRepresentation
bin1100110110001101110111…
…0110001100100010001100
31212000101120120101111212110
43031203131312030202030
53322413134024103400
650013111015104020
72655352621445613
oct315433566144214
955011516344773
1014125574441100
114556693578921
12170176a372010
137b6060cb7075
1436b977c8887a
1519768a479e50
hexcd8ddd8c88c

14125574441100 has 72 divisors (see below), whose sum is σ = 40871627048448. Its totient is φ = 3766669467200.

The previous prime is 14125574440951. The next prime is 14125574441177. The reversal of 14125574441100 is 114447552141.

14125574441100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6690097 + ... + 8544503.

It is an arithmetic number, because the mean of its divisors is an integer number (567661486784).

Almost surely, 214125574441100 is an apocalyptic number.

14125574441100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14125574441100 is an abundant number, since it is smaller than the sum of its proper divisors (26746052607348).

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

14125574441100 is a wasteful number, since it uses less digits than its factorization.

14125574441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879815 (or 1879808 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 14125574441100 in words is "fourteen trillion, one hundred twenty-five billion, five hundred seventy-four million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 25391 50782 76173 101564 126955 152346 253910 304692 380865 507820 634775 761730 1269550 1523460 1854407 1904325 2539100 3708814 3808650 5563221 7417628 7617300 9272035 11126442 18544070 22252884 27816105 37088140 46360175 55632210 92720350 111264420 139080525 185440700 278161050 556322100 47085248137 94170496274 141255744411 188340992548 235426240685 282511488822 470852481370 565022977644 706278722055 941704962740 1177131203425 1412557444110 2354262406850 2825114888220 3531393610275 4708524813700 7062787220550 14125574441100