Search a number
-
+
242162302704 = 24373143353693
BaseRepresentation
bin1110000110000111111…
…1110111111011110000
3212011001201002120200020
43201201333313323300
512431422022141304
6303125310323440
723332002416220
oct3414177677360
9764051076606
10242162302704
1193778341273
123ab237b9580
1319ab336469a
14ba13916080
156474bcd5d9
hex3861ff7ef0

242162302704 has 160 divisors (see below), whose sum is σ = 739736653824. Its totient is φ = 66801438720.

The previous prime is 242162302619. The next prime is 242162302771. The reversal of 242162302704 is 407203261242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4483282 + ... + 4536974.

Almost surely, 2242162302704 is an apocalyptic number.

242162302704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242162302704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369868326912).

242162302704 is an abundant number, since it is smaller than the sum of its proper divisors (497574351120).

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

242162302704 is a wasteful number, since it uses less digits than its factorization.

242162302704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54175 (or 54169 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 242162302704 its reverse (407203261242), we get a palindrome (649365563946).

The spelling of 242162302704 in words is "two hundred forty-two billion, one hundred sixty-two million, three hundred two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 433 434 496 651 744 866 868 1299 1302 1488 1732 1736 2598 2604 3031 3464 3472 5196 5208 6062 6928 9093 10392 10416 12124 13423 18186 20784 24248 26846 36372 40269 48496 53692 53693 72744 80538 93961 107384 107386 145488 161076 161079 187922 214768 214772 281883 322152 322158 375844 375851 429544 563766 644304 644316 751688 751702 859088 1127532 1127553 1288632 1503376 1503404 1664483 2255064 2255106 2577264 3006808 3328966 4510128 4510212 4993449 6013616 6657932 9020424 9986898 11651381 13315864 18040848 19973796 23249069 23302762 26631728 34954143 39947592 46498138 46605524 69747207 69908286 79895184 92996276 93211048 139494414 139816572 162743483 185992552 186422096 278988828 279633144 325486966 371985104 488230449 557977656 559266288 650973932 720721139 976460898 1115955312 1301947864 1441442278 1952921796 2162163417 2603895728 2882884556 3905843592 4324326834 5045047973 5765769112 7811687184 8648653668 10090095946 11531538224 15135143919 17297307336 20180191892 30270287838 34594614672 40360383784 60540575676 80720767568 121081151352 242162302704