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4142433402140 = 2251131838772421
BaseRepresentation
bin111100010001111100010…
…001010111110100011100
3112200000100022021012212112
4330101330101113310130
51020332200422332030
612451001352053152
7605165234644235
oct74217421276434
915600308235775
104142433402140
111357883731860
1256a9b86941b8
1324082586ca47
141046cdc0408c
1572b4a64ea95
hex3c47c457d1c

4142433402140 has 96 divisors (see below), whose sum is σ = 9797368670208. Its totient is φ = 1457553888000.

The previous prime is 4142433402119. The next prime is 4142433402209. The reversal of 4142433402140 is 412043342414.

It is a junction number, because it is equal to n+sod(n) for n = 4142433402097 and 4142433402106.

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, 57163130 + ... + 57235550.

It is an arithmetic number, because the mean of its divisors is an integer number (102055923648).

Almost surely, 24142433402140 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 4142433402140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898684335104).

4142433402140 is an abundant number, since it is smaller than the sum of its proper divisors (5654935268068).

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

4142433402140 is a wasteful number, since it uses less digits than its factorization.

4142433402140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80859 (or 80857 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4142433402140 its reverse (412043342414), we get a palindrome (4554476744554).

The spelling of 4142433402140 in words is "four trillion, one hundred forty-two billion, four hundred thirty-three million, four hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 8387 16774 33548 41935 72421 83870 92257 144842 167740 184514 259997 289684 362105 369028 461285 519994 724210 796631 922570 1039988 1299985 1448420 1593262 1845140 2245051 2599970 2859967 3186524 3983155 4490102 5199940 5719934 7966310 8980204 11225255 11439868 14299835 15932620 22450510 24695561 28599670 44901020 49391122 57199340 98782244 123477805 246955610 493911220 607394927 1214789854 2429579708 3036974635 6073949270 6681344197 12147898540 13362688394 18829242737 26725376788 33406720985 37658485474 66813441970 75316970948 94146213685 133626883940 188292427370 207121670107 376584854740 414243340214 828486680428 1035608350535 2071216701070 4142433402140