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6142100412 = 22372233131451
BaseRepresentation
bin1011011100001100…
…10000001110111100
3120212001110000210110
411232012100032330
5100034334203122
62453250310020
7305130664200
oct55606201674
916761400713
106142100412
112672067a48
121234b88310
1376b660156
14423a3cb00
1525e35690c
hex16e1903bc

6142100412 has 144 divisors (see below), whose sum is σ = 17463866112. Its totient is φ = 1672070400.

The previous prime is 6142100359. The next prime is 6142100441. The reversal of 6142100412 is 2140012416.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4232287 + ... + 4233737.

It is an arithmetic number, because the mean of its divisors is an integer number (121276848).

Almost surely, 26142100412 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 6142100412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731933056).

6142100412 is an abundant number, since it is smaller than the sum of its proper divisors (11321765700).

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

6142100412 is a wasteful number, since it uses less digits than its factorization.

6142100412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6142100412 is about 78371.5535892967. The cubic root of 6142100412 is about 1831.3540112122.

Adding to 6142100412 its reverse (2140012416), we get a palindrome (8282112828).

The spelling of 6142100412 in words is "six billion, one hundred forty-two million, one hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 313 322 483 588 626 644 939 966 1127 1252 1451 1878 1932 2191 2254 2902 3381 3756 4353 4382 4508 5804 6573 6762 7199 8706 8764 10157 13146 13524 14398 15337 17412 20314 21597 26292 28796 30471 30674 33373 40628 43194 46011 50393 60942 61348 66746 71099 86388 92022 100119 100786 121884 133492 142198 151179 184044 200238 201572 213297 233611 284396 302358 352751 400476 426594 454163 467222 604716 700833 705502 853188 908326 934444 1058253 1362489 1401666 1411004 1635277 1816652 2116506 2724978 2803332 3179141 3270554 4233012 4905831 5449956 6358282 6541108 9537423 9811662 10445749 12716564 19074846 19623324 20891498 22253987 31337247 38149692 41782996 44507974 62674494 66761961 73120243 89015948 125348988 133523922 146240486 219360729 267047844 292480972 438721458 511841701 877442916 1023683402 1535525103 2047366804 3071050206 6142100412