Search a number
-
+
7428857972214 = 2379715725146273
BaseRepresentation
bin110110000011010101001…
…1100001100010111110110
3222022012011212220020010210
41230012222130030113312
51433203300120102324
623444434212130250
71364501011612050
oct154065234142766
928265155806123
107428857972214
112404619723358
129bb919606986
1341b6cc854573
141b97b6cc48d0
15cd395837d29
hex6c1aa70c5f6

7428857972214 has 128 divisors (see below), whose sum is σ = 17333728054272. Its totient is φ = 2078908416000.

The previous prime is 7428857972209. The next prime is 7428857972297. The reversal of 7428857972214 is 4122797588247.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160520982 + ... + 160567254.

It is an arithmetic number, because the mean of its divisors is an integer number (135419750424).

Almost surely, 27428857972214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7428857972214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666864027136).

7428857972214 is an abundant number, since it is smaller than the sum of its proper divisors (9904870082058).

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

7428857972214 is a wasteful number, since it uses less digits than its factorization.

7428857972214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46790.

The product of its digits is 126443520, while the sum is 66.

The spelling of 7428857972214 in words is "seven trillion, four hundred twenty-eight billion, eight hundred fifty-seven million, nine hundred seventy-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 97 157 194 251 291 314 471 502 582 679 753 942 1099 1358 1506 1757 2037 2198 3297 3514 4074 5271 6594 10542 15229 24347 30458 39407 45687 46273 48694 73041 78814 91374 92546 106603 118221 138819 146082 170429 213206 236442 275849 277638 319809 323911 340858 511287 551698 639618 647822 827547 971733 1022574 1655094 1943466 3822479 4488481 7264861 7644958 8976962 11467437 11614523 13465443 14529722 21794583 22934874 23229046 26757353 26930886 31419367 34843569 43589166 50854027 53514706 62838734 69687138 80272059 81301661 94258101 101708054 152562081 160544118 162603322 188516202 243904983 305124162 487809966 704691517 1126608731 1409383034 1823480111 2114074551 2253217462 3379826193 3646960222 4228149102 4932840619 5470440333 6759652386 7886261117 9865681238 10940880666 12764360777 14798521857 15772522234 23658783351 25528721554 29597043714 38293082331 47317566702 76586164662 176877570767 353755141534 530632712301 1061265424602 1238142995369 2476285990738 3714428986107 7428857972214