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3142432421112 = 2333761239242731
BaseRepresentation
bin101101101110100111100…
…100010111010011111000
3102010102011111222221200010
4231232213210113103320
5402441200144433422
610403340304341520
7443014255601115
oct55564744272370
912112144887603
103142432421112
1110017751a68a6
124290363148a0
1319a43a31c81a
14ac1475c390c
1556b1dc92b0c
hex2dba79174f8

3142432421112 has 128 divisors (see below), whose sum is σ = 8235022924800. Its totient is φ = 998261107200.

The previous prime is 3142432421071. The next prime is 3142432421129. The reversal of 3142432421112 is 2111242342413.

It is a happy number.

It is a super-2 number, since 2×31424324211122 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3142432421112.

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, 12824787 + ... + 13067517.

It is an arithmetic number, because the mean of its divisors is an integer number (64336116600).

Almost surely, 23142432421112 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 3142432421112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117511462400).

3142432421112 is an abundant number, since it is smaller than the sum of its proper divisors (5092590503688).

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

3142432421112 is a wasteful number, since it uses less digits than its factorization.

3142432421112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243077 (or 243073 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 3142432421112 its reverse (2111242342413), we get a palindrome (5253674763525).

The spelling of 3142432421112 in words is "three trillion, one hundred forty-two billion, four hundred thirty-two million, four hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 183 222 239 244 296 366 444 478 488 717 732 888 956 1434 1464 1912 2257 2868 4514 5736 6771 8843 9028 13542 14579 17686 18056 26529 27084 29158 35372 43737 53058 54168 58316 70744 87474 106116 116632 174948 212232 242731 349896 485462 539423 728193 970924 1078846 1456386 1618269 1941848 2157692 2912772 3236538 4315384 5825544 6473076 8981047 12946152 14806591 17962094 26943141 29613182 35924188 44419773 53886282 58012709 59226364 71848376 88839546 107772564 116025418 118452728 174038127 177679092 215545128 232050836 348076254 355358184 464101672 547843867 696152508 1095687734 1392305016 1643531601 2146470233 2191375468 3287063202 3538775249 4292940466 4382750936 6439410699 6574126404 7077550498 8585880932 10616325747 12878821398 13148252808 14155100996 17171761864 21232651494 25757642796 28310201992 42465302988 51515285592 84930605976 130934684213 261869368426 392804052639 523738736852 785608105278 1047477473704 1571216210556 3142432421112