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4131104434000 = 245321131131477
BaseRepresentation
bin111100000111011001000…
…000110010011101010000
3112121221002202211000011221
4330013121000302131100
51020141000213342000
612441445253014424
7604314422211505
oct74073100623520
915557082730157
104131104434000
111352a9a834375
12568776624414
1323c73b7441bb
14103d3737d4ac
15726d5c7d61a
hex3c1d9032750

4131104434000 has 160 divisors (see below), whose sum is σ = 10068942903552. Its totient is φ = 1639270080000.

The previous prime is 4131104433997. The next prime is 4131104434013. The reversal of 4131104434000 is 4344011314.

It is a super-2 number, since 2×41311044340002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 131226262 + ... + 131257738.

Almost surely, 24131104434000 is an apocalyptic number.

4131104434000 is a gapful number since it is divisible by the number (40) 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 4131104434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034471451776).

4131104434000 is an abundant number, since it is smaller than the sum of its proper divisors (5937838469552).

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

4131104434000 is a wasteful number, since it uses less digits than its factorization.

4131104434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32022 (or 32006 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4131104434000 its reverse (4344011314), we get a palindrome (4135448445314).

The spelling of 4131104434000 in words is "four trillion, one hundred thirty-one billion, one hundred four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 311 400 422 500 622 844 1000 1055 1244 1555 1688 2000 2110 2488 3110 3376 4220 4976 5275 6220 7775 8440 10550 12440 15550 16880 21100 24880 26375 31100 31477 38875 42200 52750 62200 62954 65621 77750 84400 105500 124400 125908 131242 155500 157385 211000 251816 262484 311000 314770 328105 422000 503632 524968 622000 629540 656210 786925 1049936 1259080 1312420 1573850 1640525 2518160 2624840 3147700 3281050 3934625 5249680 6295400 6562100 6641647 7869250 8202625 9789347 12590800 13124200 13283294 15738500 16405250 19578694 26248400 26566588 31477000 32810500 33208235 39157388 48946735 53133176 62954000 65621000 66416470 78314776 97893470 106266352 131242000 132832940 156629552 166041175 195786940 244733675 265665880 332082350 391573880 489467350 531331760 664164700 783147760 830205875 978934700 1223668375 1328329400 1660411750 1957869400 2065552217 2447336750 2656658800 3320823500 3915738800 4131104434 4894673500 6641647000 8262208868 9789347000 10327761085 13283294000 16524417736 19578694000 20655522170 33048835472 41311044340 51638805425 82622088680 103277610850 165244177360 206555221700 258194027125 413110443400 516388054250 826220886800 1032776108500 2065552217000 4131104434000