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3142314132432 = 2432397184715887
BaseRepresentation
bin101101101110100000100…
…001001000001111010000
3102010101212021102021002220
4231232200201020033100
5402440424404214212
610403320441141040
7443011321265136
oct55564041101720
912111767367086
103142314132432
111001714453862
1242900278a780
1319a41b974817
14ac1359d1756
1556b136c938c
hex2dba08483d0

3142314132432 has 160 divisors (see below), whose sum is σ = 8563083927552. Its totient is φ = 990969188352.

The previous prime is 3142314132407. The next prime is 3142314132437. The reversal of 3142314132432 is 2342314132413.

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

It is a junction number, because it is equal to n+sod(n) for n = 3142314132393 and 3142314132402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142314132437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 197783593 + ... + 197799479.

Almost surely, 23142314132432 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 3142314132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281541963776).

3142314132432 is an abundant number, since it is smaller than the sum of its proper divisors (5420769795120).

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

3142314132432 is a wasteful number, since it uses less digits than its factorization.

3142314132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17865 (or 17859 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 3142314132432 its reverse (2342314132413), we get a palindrome (5484628264845).

The spelling of 3142314132432 in words is "three trillion, one hundred forty-two billion, three hundred fourteen million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 97 138 184 194 276 291 368 388 552 582 776 1104 1164 1552 1847 2231 2328 3694 4462 4656 5541 6693 7388 8924 11082 13386 14776 15887 17848 22164 26772 29552 31774 35696 42481 44328 47661 53544 63548 84962 88656 95322 107088 127096 127443 169924 179159 190644 254192 254886 339848 358318 365401 381288 509772 537477 679696 716636 730802 762576 1019544 1074954 1096203 1433272 1461604 1541039 2039088 2149908 2192406 2866544 2923208 3082078 4120657 4299816 4384812 4623117 5846416 6164156 8241314 8599632 8769624 9246234 12328312 12361971 16482628 17539248 18492468 24656624 24723942 29343289 32965256 35443897 36984936 49447884 58686578 65930512 70887794 73969872 88029867 98895768 106331691 117373156 141775588 176059734 197791536 212663382 234746312 283551176 352119468 425326764 469492624 567102352 674895647 704238936 850653528 1349791294 1408477872 1701307056 2024686941 2699582588 2846299033 4049373882 5399165176 5692598066 8098747764 8538897099 10798330352 11385196132 16197495528 17077794198 22770392264 32394991056 34155588396 45540784528 65464877759 68311176792 130929755518 136622353584 196394633277 261859511036 392789266554 523719022072 785578533108 1047438044144 1571157066216 3142314132432