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413432324140 = 2251113134741341
BaseRepresentation
bin1100000010000100111…
…11001010000000101100
31110112010210212010200111
412001002133022000230
523233202133333030
6513532253305404
741604144525613
oct6010237120054
91415123763614
10413432324140
1114a376850330
1268161795264
132cca945b434
141602010887a
15ab4ac9662a
hex60427ca02c

413432324140 has 96 divisors (see below), whose sum is σ = 957139400448. Its totient is φ = 148757856000.

The previous prime is 413432324099. The next prime is 413432324141. The reversal of 413432324140 is 41423234314.

It is not an unprimeable number, because it can be changed into a prime (413432324141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9979870 + ... + 10021210.

It is an arithmetic number, because the mean of its divisors is an integer number (9970202088).

Almost surely, 2413432324140 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 413432324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478569700224).

413432324140 is an abundant number, since it is smaller than the sum of its proper divisors (543707076308).

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

413432324140 is a wasteful number, since it uses less digits than its factorization.

413432324140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41839 (or 41837 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 413432324140 its reverse (41423234314), we get a palindrome (454855558454).

The spelling of 413432324140 in words is "four hundred thirteen billion, four hundred thirty-two million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 347 524 655 694 1310 1388 1441 1735 2620 2882 3470 3817 5764 6940 7205 7634 14410 15268 19085 28820 38170 41341 45457 76340 82682 90914 165364 181828 206705 227285 413410 454570 454751 500027 826820 909140 909502 1000054 1819004 2000108 2273755 2500135 4547510 5000270 5415671 9095020 10000540 10831342 14345327 21662684 27078355 28690654 54156710 57381308 59572381 71726635 108313420 119144762 143453270 157798597 238289524 286906540 297861905 315597194 595723810 631194388 788992985 1191447620 1577985970 1879237837 3155971940 3758475674 7516951348 9396189185 18792378370 20671616207 37584756740 41343232414 82686464828 103358081035 206716162070 413432324140