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114010031140 = 225173131134781
BaseRepresentation
bin110101000101110000…
…1110000010000100100
3101220021112222122221221
41222023201300100210
53331443031444030
6124213034350124
711144163163225
oct1521341602044
9356245878857
10114010031140
1144395765935
121a11988b344
13a99c2213b5
1457379c924c
152e7419ee7a
hex1a8b870424

114010031140 has 96 divisors (see below), whose sum is σ = 262531196928. Its totient is φ = 41402112000.

The previous prime is 114010031137. The next prime is 114010031173. The reversal of 114010031140 is 41130010411.

It is a super-3 number, since 3×1140100311403 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3260550 + ... + 3295330.

It is an arithmetic number, because the mean of its divisors is an integer number (2734699968).

Almost surely, 2114010031140 is an apocalyptic number.

114010031140 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 114010031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131265598464).

114010031140 is an abundant number, since it is smaller than the sum of its proper divisors (148521165788).

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

114010031140 is a wasteful number, since it uses less digits than its factorization.

114010031140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35149 (or 35147 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 114010031140 its reverse (41130010411), we get a palindrome (155140041551).

The spelling of 114010031140 in words is "one hundred fourteen billion, ten million, thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 311 340 527 620 622 1054 1244 1555 2108 2635 3110 5270 5287 6220 9641 10540 10574 19282 21148 26435 34781 38564 48205 52870 69562 96410 105740 139124 163897 173905 192820 327794 347810 591277 655588 695620 819485 1078211 1182554 1638970 2156422 2365108 2956385 3277940 4312844 5391055 5912770 10782110 10816891 11825540 18329587 21564220 21633782 36659174 43267564 54084455 73318348 91647935 108168910 183295870 183887147 216337820 335323621 366591740 367774294 670647242 735548588 919435735 1341294484 1676618105 1838871470 3353236210 3677742940 5700501557 6706472420 11401003114 22802006228 28502507785 57005015570 114010031140