Search a number
-
+
151050230436 = 223721018812887
BaseRepresentation
bin1000110010101101001…
…0111001101010100100
3112102212221122202012010
42030223102321222210
54433322324333221
6153220322354220
713625110526400
oct2145322715244
9472787582163
10151050230436
1159072a0a896
12253364bb970
13113230258a1
14744d056100
153de0dd3c76
hex232b4b9aa4

151050230436 has 144 divisors (see below), whose sum is σ = 414666387072. Its totient is φ = 42666624000.

The previous prime is 151050230393. The next prime is 151050230437. The reversal of 151050230436 is 634032050151.

It is a super-2 number, since 2×1510502304362 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151050230437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52319385 + ... + 52322271.

It is an arithmetic number, because the mean of its divisors is an integer number (2879627688).

Almost surely, 2151050230436 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 151050230436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207333193536).

151050230436 is an abundant number, since it is smaller than the sum of its proper divisors (263616156636).

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

151050230436 is a wasteful number, since it uses less digits than its factorization.

151050230436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 151050230436 its reverse (634032050151), we get a palindrome (785082280587).

The spelling of 151050230436 in words is "one hundred fifty-one billion, fifty million, two hundred thirty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 101 147 196 202 294 303 404 588 606 707 881 1212 1414 1762 2121 2643 2828 2887 3524 4242 4949 5286 5774 6167 8484 8661 9898 10572 11548 12334 14847 17322 18501 19796 20209 24668 29694 34644 37002 40418 43169 59388 60627 74004 80836 86338 88981 121254 129507 141463 172676 177962 242508 259014 266943 282926 291587 355924 424389 518028 533886 565852 583174 622867 848778 874761 1067772 1166348 1245734 1697556 1749522 1868601 2041109 2491468 2543447 3499044 3737202 4082218 4360069 5086894 6123327 7474404 7630341 8164436 8720138 10173788 12246654 13080207 14287763 15260682 17440276 17804129 24493308 26160414 28575526 30521364 35608258 42863289 52320828 53412387 57151052 71216516 85726578 106824774 124628903 171453156 213649548 249257806 256888147 373886709 498515612 513776294 747773418 770664441 1027552588 1495546836 1541328882 1798217029 3082657764 3596434058 5394651087 7192868116 10789302174 12587519203 21578604348 25175038406 37762557609 50350076812 75525115218 151050230436