Search a number
-
+
2211343024140 = 22325173123311649
BaseRepresentation
bin100000001011011110010…
…100001100000000001100
321211101212022000212100200
4200023132110030000030
5242212312303233030
64411513231253500
7315523066366215
oct40133624140014
97741768025320
102211343024140
1178290953a9a8
122b86a637a290
131306b4890b43
147905b21440c
153c7c719cd60
hex202de50c00c

2211343024140 has 144 divisors (see below), whose sum is σ = 7331420678400. Its totient is φ = 537100369920.

The previous prime is 2211343024117. The next prime is 2211343024193. The reversal of 2211343024140 is 414203431122.

2211343024140 is a `hidden beast` number, since 2 + 211 + 3 + 4 + 30 + 2 + 414 + 0 = 666.

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, 11560965 + ... + 11750684.

It is an arithmetic number, because the mean of its divisors is an integer number (50912643600).

Almost surely, 22211343024140 is an apocalyptic number.

2211343024140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211343024140 is an abundant number, since it is smaller than the sum of its proper divisors (5120077654260).

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

2211343024140 is a wasteful number, since it uses less digits than its factorization.

2211343024140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23311712 (or 23311707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2211343024140 its reverse (414203431122), we get a palindrome (2625546455262).

The spelling of 2211343024140 in words is "two trillion, two hundred eleven billion, three hundred forty-three million, twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 310 340 372 465 510 527 558 612 620 765 930 1020 1054 1116 1395 1530 1581 1860 2108 2635 2790 3060 3162 4743 5270 5580 6324 7905 9486 10540 15810 18972 23715 31620 47430 94860 23311649 46623298 69934947 93246596 116558245 139869894 209804841 233116490 279739788 349674735 396298033 419609682 466232980 699349470 722661119 792596066 839219364 1049024205 1188894099 1398698940 1445322238 1585192132 1981490165 2098048410 2167983357 2377788198 2890644476 3566682297 3613305595 3962980330 4196096820 4335966714 4755576396 5944470495 6503950071 7133364594 7226611190 7925960660 8671933428 10839916785 11888940990 12285239023 13007900142 14266729188 14453222380 17833411485 21679833570 23777881980 24570478046 26015800284 32519750355 35666822970 36855717069 43359667140 49140956092 61426195115 65039500710 71333645940 73711434138 110567151207 122852390230 130079001420 147422868276 184278585345 221134302414 245704780460 368557170690 442268604828 552835756035 737114341380 1105671512070 2211343024140