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251421302034 = 232723106981157
BaseRepresentation
bin1110101000100111100…
…0001001110100010010
3220000221222112110222100
43222021320021310102
513104402323131114
6311300143021230
724110311543320
oct3521170116422
9800858473870
10251421302034
1197699852531
124088859a816
131a92a688606
14c2514aad10
1568179ba909
hex3a89e09d12

251421302034 has 96 divisors (see below), whose sum is σ = 650250881280. Its totient is φ = 68646289536.

The previous prime is 251421302009. The next prime is 251421302047. The reversal of 251421302034 is 430203124152.

251421302034 is a `hidden beast` number, since 2 + 5 + 1 + 421 + 30 + 203 + 4 = 666.

It is a super-2 number, since 2×2514213020342 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 251421301989 and 251421302007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3057384 + ... + 3138540.

It is an arithmetic number, because the mean of its divisors is an integer number (6773446680).

Almost surely, 2251421302034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251421302034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325125440640).

251421302034 is an abundant number, since it is smaller than the sum of its proper divisors (398829579246).

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

251421302034 is a wasteful number, since it uses less digits than its factorization.

251421302034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82264 (or 82261 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 251421302034 its reverse (430203124152), we get a palindrome (681624426186).

The spelling of 251421302034 in words is "two hundred fifty-one billion, four hundred twenty-one million, three hundred two thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1069 1449 2138 2898 3207 6414 7483 9621 14966 19242 22449 24587 44898 49174 67347 73761 81157 134694 147522 162314 172109 221283 243471 344218 442566 486942 516327 568099 730413 1032654 1136198 1460826 1548981 1704297 1866611 3097962 3408594 3733222 5112891 5599833 10225782 11199666 13066277 16799499 26132554 33598998 39198831 78397662 86756833 117596493 173513666 235192986 260270499 520540998 607297831 780811497 1214595662 1561622994 1821893493 1995407159 3643786986 3990814318 5465680479 5986221477 10931360958 11972442954 13967850113 17958664431 27935700226 35917328862 41903550339 83807100678 125710651017 251421302034