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1144323431412 = 2237731823102367
BaseRepresentation
bin10000101001101110111…
…111011101101111110100
311001101200212102101011120
4100221232333131233310
5122222033244301122
62233410034303540
7145450254451440
oct20515677355764
94041625371146
101144323431412
11401339821047
1216593b727bb0
1383ba8792275
143d557d3b820
151eb76ce975c
hex10a6efddbf4

1144323431412 has 96 divisors (see below), whose sum is σ = 3095057989632. Its totient is φ = 322290752256.

The previous prime is 1144323431411. The next prime is 1144323431429. The reversal of 1144323431412 is 2141343234411.

It is a happy number.

It is a super-2 number, since 2×11443234314122 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144323431411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11127453 + ... + 11229819.

It is an arithmetic number, because the mean of its divisors is an integer number (32240187392).

Almost surely, 21144323431412 is an apocalyptic number.

1144323431412 is a gapful number since it is divisible by the number (12) 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 1144323431412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547528994816).

1144323431412 is an abundant number, since it is smaller than the sum of its proper divisors (1950734558220).

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

1144323431412 is a wasteful number, since it uses less digits than its factorization.

1144323431412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104277 (or 104275 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 1144323431412 its reverse (2141343234411), we get a palindrome (3285666665823).

The spelling of 1144323431412 in words is "one trillion, one hundred forty-four billion, three hundred twenty-three million, four hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 1823 2044 3066 3646 5469 6132 7292 10938 12761 21876 25522 38283 51044 76566 102367 133079 153132 204734 266158 307101 399237 409468 532316 614202 716569 798474 931553 1228404 1433138 1596948 1863106 2149707 2794659 2866276 3726212 4299414 5589318 7472791 8598828 11178636 14945582 22418373 29891164 44836746 52309537 89673492 104619074 156928611 186615041 209238148 313857222 373230082 559845123 627714444 746460164 1119690246 1306305287 2239380492 2612610574 3918915861 5225221148 7837831722 13622897993 15675663444 27245795986 40868693979 54491591972 81737387958 95360285951 163474775916 190720571902 286080857853 381441143804 572161715706 1144323431412