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3120140313114 = 2311113887471659
BaseRepresentation
bin101101011001110110110…
…110101110001000011010
3102001021121221110112100120
4231121312312232020122
5402110021410004424
610345212255214110
7441264662032446
oct55316666561032
912037557415316
103120140313114
11aa3275957150
12424854817336
131982c6b03c86
14ab030b25826
1556266bb3a79
hex2d676dae21a

3120140313114 has 64 divisors (see below), whose sum is σ = 6875580257280. Its totient is φ = 936071333120.

The previous prime is 3120140313067. The next prime is 3120140313179. The reversal of 3120140313114 is 4113130410213.

It is a happy number.

It is an unprimeable number.

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, 6379417 + ... + 6851075.

It is an arithmetic number, because the mean of its divisors is an integer number (107430941520).

Almost surely, 23120140313114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120140313114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437790128640).

3120140313114 is an abundant number, since it is smaller than the sum of its proper divisors (3755439944166).

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

3120140313114 is a wasteful number, since it uses less digits than its factorization.

3120140313114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472675.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 3120140313114 its reverse (4113130410213), we get a palindrome (7233270723327).

The spelling of 3120140313114 in words is "three trillion, one hundred twenty billion, one hundred forty million, three hundred thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 113 226 339 678 887 1243 1774 2486 2661 3729 5322 7458 9757 19514 29271 58542 100231 200462 300693 471659 601386 943318 1102541 1414977 2205082 2829954 3307623 5188249 6615246 10376498 15564747 31129494 53297467 106594934 159892401 319784802 418361533 586272137 836723066 1172544274 1255084599 1758816411 2510169198 3517632822 4601976863 9203953726 13805930589 27611861178 47274853229 94549706458 141824559687 283649119374 520023385519 1040046771038 1560070156557 3120140313114