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114210113534540 = 225175213727172993
BaseRepresentation
bin11001111101111110011101…
…001111110011101001001100
3112222101101021011220221202222
4121331332131033303221030
5104432204303031101130
61042523222444034512
733025260040224302
oct3175763517635114
9488341234827688
10114210113534540
1133433267703171
1210986827b32a38
134b95c7677860a
14202bb285da272
15d30d01979ce5
hex67df9d3f3a4c

114210113534540 has 96 divisors (see below), whose sum is σ = 254506713479424. Its totient is φ = 42902458859520.

The previous prime is 114210113534507. The next prime is 114210113534579. The reversal of 114210113534540 is 45435311012411.

It is a self number, because there is not a number n which added to its sum of digits gives 114210113534540.

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, 660114284 + ... + 660287276.

It is an arithmetic number, because the mean of its divisors is an integer number (2651111598744).

Almost surely, 2114210113534540 is an apocalyptic number.

114210113534540 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 114210113534540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127253356739712).

114210113534540 is an abundant number, since it is smaller than the sum of its proper divisors (140296599944884).

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

114210113534540 is a wasteful number, since it uses less digits than its factorization.

114210113534540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177267 (or 177265 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 114210113534540 its reverse (45435311012411), we get a palindrome (159645424546951).

The spelling of 114210113534540 in words is "one hundred fourteen trillion, two hundred ten billion, one hundred thirteen million, five hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 521 1042 2084 2605 3727 5210 7454 8857 10420 14908 17714 18635 35428 37270 44285 63359 74540 88570 126718 172993 177140 253436 316795 345986 633590 691972 864965 1267180 1729930 1941767 2940881 3459860 3883534 5881762 7767068 9708835 11763524 14704405 19417670 29408810 33010039 38835340 58817620 66020078 90129353 132040156 165050195 180258706 330100390 360517412 450646765 644744911 660200780 901293530 1289489822 1532199001 1802587060 2578979644 3064398002 3223724555 6128796004 6447449110 7660995005 10960663487 12894898220 15321990010 21921326974 30643980020 43842653948 54803317435 109606634870 219213269740 335912098631 671824197262 1343648394524 1679560493155 3359120986310 5710505676727 6718241972620 11421011353454 22842022706908 28552528383635 57105056767270 114210113534540