Search a number
-
+
3142343202444 = 223571109341659
BaseRepresentation
bin101101101110100010010…
…000000001011010001100
3102010101221022010011200000
4231232202100001122030
5402441004324434234
610403323400204300
7443012123341305
oct55564220013214
912111838104600
103142343202444
1110017298a9566
12429010469690
1319a4249b2404
14ac1397db7ac
1556b1601c899
hex2dba240168c

3142343202444 has 144 divisors (see below), whose sum is σ = 8361197994240. Its totient is φ = 1031725356480.

The previous prime is 3142343202433. The next prime is 3142343202491. The reversal of 3142343202444 is 4442023432413.

3142343202444 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 3 + 4 + 3 + 202 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3142343202399 and 3142343202408.

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, 75409287 + ... + 75450945.

It is an arithmetic number, because the mean of its divisors is an integer number (58063874960).

Almost surely, 23142343202444 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 3142343202444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180598997120).

3142343202444 is an abundant number, since it is smaller than the sum of its proper divisors (5218854791796).

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

3142343202444 is a wasteful number, since it uses less digits than its factorization.

3142343202444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42842 (or 42828 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3142343202444 its reverse (4442023432413), we get a palindrome (7584366634857).

The spelling of 3142343202444 in words is "three trillion, one hundred forty-two billion, three hundred forty-three million, two hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 243 284 324 426 486 639 852 972 1093 1278 1917 2186 2556 3279 3834 4372 5751 6558 7668 9837 11502 13116 17253 19674 23004 29511 34506 39348 41659 59022 69012 77603 83318 88533 118044 124977 155206 166636 177066 232809 249954 265599 310412 354132 374931 465618 499908 531198 698427 749862 931236 1062396 1124793 1396854 1499724 2095281 2249586 2793708 2957789 3374379 4190562 4499172 5915578 6285843 6748758 8381124 8873367 10123137 11831156 12571686 13497516 17746734 18857529 20246274 25143372 26620101 35493468 37715058 40492548 45533287 53240202 75430116 79860303 91066574 106480404 136599861 159720606 182133148 239580909 273199722 319441212 409799583 479161818 546399444 718742727 819599166 958323636 1229398749 1437485454 1639198332 2458797498 2874970908 3232863377 3688196247 4917594996 6465726754 7376392494 9698590131 11064588741 12931453508 14752784988 19397180262 22129177482 29095770393 38794360524 44258354964 58191540786 87287311179 116383081572 174574622358 261861933537 349149244716 523723867074 785585800611 1047447734148 1571171601222 3142343202444