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114212242312 = 237219139110321
BaseRepresentation
bin110101001011110010…
…1001000001110001000
3101220210122111001112121
41222113211020032020
53332401313223222
6124245100421024
711152200020200
oct1522745101610
9356718431477
10114212242312
1144489919103
121a175547774
13aa020a0c8c
1457567c5400
152e86ce45c7
hex1a97948388

114212242312 has 96 divisors (see below), whose sum is σ = 264110868000. Its totient is φ = 46037859840.

The previous prime is 114212242297. The next prime is 114212242321. The reversal of 114212242312 is 213242212411.

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, 980112 + ... + 1090432.

It is an arithmetic number, because the mean of its divisors is an integer number (2751154875).

Almost surely, 2114212242312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114212242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132055434000).

114212242312 is an abundant number, since it is smaller than the sum of its proper divisors (149898625688).

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

114212242312 is a wasteful number, since it uses less digits than its factorization.

114212242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110499 (or 110488 counting only the distinct ones).

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

Adding to 114212242312 its reverse (213242212411), we get a palindrome (327454454723).

The spelling of 114212242312 in words is "one hundred fourteen billion, two hundred twelve million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 139 152 196 266 278 392 532 556 931 973 1064 1112 1862 1946 2641 3724 3892 5282 6811 7448 7784 10564 13622 18487 21128 27244 36974 54488 73948 110321 129409 147896 220642 258818 441284 517636 772247 882568 1035272 1544494 2096099 3088988 4192198 5405729 6177976 8384396 10811458 14672693 15334619 16768792 21622916 29345386 30669238 43245832 58690772 61338476 102708851 107342333 117381544 122676952 205417702 214684666 291357761 410835404 429369332 582715522 751396331 821670808 858738664 1165431044 1502792662 2039504327 2330862088 3005585324 4079008654 6011170648 8158017308 14276530289 16316034616 28553060578 57106121156 114212242312