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111341420440 = 235171911817297
BaseRepresentation
bin110011110110001110…
…1110011111110011000
3101122101120112012021121
41213230131303332120
53311011400423230
6123052145015024
711021100313135
oct1475435637630
9348346465247
10111341420440
1143246369148
12196b4024474
13a6653a8103
14556340758c
152d69c6a77a
hex19ec773f98

111341420440 has 128 divisors (see below), whose sum is σ = 279490046400. Its totient is φ = 39671562240.

The previous prime is 111341420431. The next prime is 111341420447. The reversal of 111341420440 is 44024143111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111341420447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15254872 + ... + 15262168.

Almost surely, 2111341420440 is an apocalyptic number.

111341420440 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 111341420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139745023200).

111341420440 is an abundant number, since it is smaller than the sum of its proper divisors (168148625960).

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

111341420440 is a wasteful number, since it uses less digits than its factorization.

111341420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8521 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 111341420440 its reverse (44024143111), we get a palindrome (155365563551).

The spelling of 111341420440 in words is "one hundred eleven billion, three hundred forty-one million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1181 1292 1615 2362 2584 3230 4724 5905 6460 7297 9448 11810 12920 14594 20077 22439 23620 29188 36485 40154 44878 47240 58376 72970 80308 89756 100385 112195 124049 138643 145940 160616 179512 200770 224390 248098 277286 291880 381463 401540 448780 496196 554572 620245 693215 762926 803080 897560 992392 1109144 1240490 1386430 1525852 1907315 2356931 2480980 2772860 3051704 3814630 4713862 4961960 5545720 7629260 8617757 9427724 11784655 15258520 17235514 18855448 23569310 34471028 43088785 47138620 68942056 86177570 94277240 146501869 163737383 172355140 293003738 327474766 344710280 586007476 654949532 732509345 818686915 1172014952 1309899064 1465018690 1637373830 2783535511 2930037380 3274747660 5567071022 5860074760 6549495320 11134142044 13917677555 22268284088 27835355110 55670710220 111341420440