Search a number
-
+
10434211341420 = 22352831831335609
BaseRepresentation
bin1001011111010110011101…
…1101011110010001101100
31100221111112010110211120110
42113311213131132101230
52331423231100411140
634105224401020020
72124563325012426
oct227654735362154
940844463424513
1010434211341420
1133631403125a9
121206278324610
135a8c324a8949
14281038b85816
15131640035380
hex97d6775e46c

10434211341420 has 96 divisors (see below), whose sum is σ = 29335127754240. Its totient is φ = 2771101831680.

The previous prime is 10434211341409. The next prime is 10434211341611. The reversal of 10434211341420 is 2414311243401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 30922576 + ... + 31258184.

It is an arithmetic number, because the mean of its divisors is an integer number (305574247440).

Almost surely, 210434211341420 is an apocalyptic number.

10434211341420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434211341420 is an abundant number, since it is smaller than the sum of its proper divisors (18900916412820).

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

10434211341420 is a wasteful number, since it uses less digits than its factorization.

10434211341420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337735 (or 337733 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10434211341420 its reverse (2414311243401), we get a palindrome (12848522584821).

The spelling of 10434211341420 in words is "ten trillion, four hundred thirty-four billion, two hundred eleven million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 283 566 849 1132 1415 1698 1831 2830 3396 3662 4245 5493 5660 7324 8490 9155 10986 16980 18310 21972 27465 36620 54930 109860 335609 518173 671218 1006827 1036346 1342436 1554519 1678045 2013654 2072692 2590865 3109038 3356090 4027308 5034135 5181730 6218076 6712180 7772595 10068270 10363460 15545190 20136540 31090380 94977347 189954694 284932041 379909388 474886735 569864082 614500079 949773470 1139728164 1229000158 1424660205 1843500237 1899546940 2458000316 2849320410 3072500395 3687000474 5698640820 6145000790 7374000948 9217501185 12290001580 18435002370 36870004740 173903522357 347807044714 521710567071 695614089428 869517611785 1043421134142 1739035223570 2086842268284 2608552835355 3478070447140 5217105670710 10434211341420