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400121441430 = 235231015879781
BaseRepresentation
bin1011101001010010001…
…10001010110010010110
31102020210011002020022120
411310221012022302112
523023422042111210
6503451355040410
740623245064444
oct5645106126226
91366704066276
10400121441430
11144766139117
1265667a40106
132b96784b389
141551a375b94
15a61c3d6270
hex5d2918ac96

400121441430 has 128 divisors (see below), whose sum is σ = 1013792080896. Its totient is φ = 100867008000.

The previous prime is 400121441413. The next prime is 400121441491. The reversal of 400121441430 is 34144121004.

It is a self number, because there is not a number n which added to its sum of digits gives 400121441430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40903140 + ... + 40912920.

It is an arithmetic number, because the mean of its divisors is an integer number (7920250632).

Almost surely, 2400121441430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400121441430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506896040448).

400121441430 is an abundant number, since it is smaller than the sum of its proper divisors (613670639466).

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

400121441430 is a wasteful number, since it uses less digits than its factorization.

400121441430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 400121441430 its reverse (34144121004), we get a palindrome (434265562434).

The spelling of 400121441430 in words is "four hundred billion, one hundred twenty-one million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 101 115 138 202 230 303 345 505 587 606 690 1010 1174 1515 1761 2323 2935 3030 3522 4646 5870 6969 8805 9781 11615 13501 13938 17610 19562 23230 27002 29343 34845 40503 48905 58686 59287 67505 69690 81006 97810 118574 135010 146715 177861 202515 224963 293430 296435 355722 405030 449926 592870 674889 889305 987881 1124815 1349778 1363601 1778610 1975762 2249630 2727202 2963643 3374445 4090803 4939405 5741447 5927286 6748890 6818005 8181606 9878810 11482894 13636010 14818215 17224341 20454015 22721263 28707235 29636430 34448682 40908030 45442526 57414470 68163789 86121705 113606315 132053281 136327578 172243410 227212630 264106562 340818945 396159843 579886147 660266405 681637890 792319686 1159772294 1320532810 1739658441 1980799215 2899430735 3479316882 3961598430 5798861470 8698292205 13337381381 17396584410 26674762762 40012144143 66686906905 80024288286 133373813810 200060720715 400121441430