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6034452524142 = 23729311145110979
BaseRepresentation
bin101011111010000000101…
…1001100010110001101110
3210100212222101001010010220
41113310001121202301232
51242332024321233032
620500104512112210
71161655234065030
oct127640131426156
923325871033126
106034452524142
111a1721914a7a9
12815625b35666
1334a07b018163
1416c0d7705c50
15a6e8392312c
hex57d01662c6e

6034452524142 has 128 divisors (see below), whose sum is σ = 14325706137600. Its totient is φ = 1658029296000.

The previous prime is 6034452524137. The next prime is 6034452524147. The reversal of 6034452524142 is 2414252544306.

It is an interprime number because it is at equal distance from previous prime (6034452524137) and next prime (6034452524147).

It is a super-2 number, since 2×60344525241422 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6034452524094 and 6034452524103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6034452524147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549630409 + ... + 549641387.

It is an arithmetic number, because the mean of its divisors is an integer number (111919579200).

Almost surely, 26034452524142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6034452524142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162853068800).

6034452524142 is an abundant number, since it is smaller than the sum of its proper divisors (8291253613458).

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

6034452524142 is a wasteful number, since it uses less digits than its factorization.

6034452524142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12782.

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 6034452524142 in words is "six trillion, thirty-four billion, four hundred fifty-two million, five hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 311 406 609 622 933 1218 1451 1866 2177 2902 4353 4354 6531 8706 9019 10157 10979 13062 18038 20314 21958 27057 30471 32937 42079 54114 60942 63133 65874 76853 84158 126237 126266 153706 189399 230559 252474 294553 318391 378798 451261 461118 589106 636782 883659 902522 955173 1353783 1767318 1910346 2228737 2707566 3158827 3414469 4457474 6317654 6686211 6828938 9476481 10243407 13086569 13372422 15930529 18952962 20486814 23901283 26173138 31861058 39259707 47791587 47802566 71703849 78519414 91605983 95583174 99019601 111513703 143407698 183211966 198039202 223027406 274817949 297058803 334541109 461985341 549635898 594117606 669082218 693137207 923970682 1385956023 1386274414 2079411621 2771912046 3233897387 4158823242 4954394519 6467794774 9701692161 9908789038 14863183557 19403384322 29726367114 34680761633 69361523266 104042284899 143677441051 208084569798 287354882102 431032323153 862064646306 1005742087357 2011484174714 3017226262071 6034452524142