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406143353420 = 225753143338197
BaseRepresentation
bin1011110100100000000…
…01111100001001001100
31102211022211101001120222
411322100001330021030
523123240144302140
6510325113330512
741225416354250
oct5722001741114
91384284331528
10406143353420
11147276375792
1266868706a38
132c3b73198cc
141592c04a260
15a870deb5b5
hex5e9007c24c

406143353420 has 96 divisors (see below), whose sum is σ = 993854510208. Its totient is φ = 136522893312.

The previous prime is 406143353417. The next prime is 406143353423. The reversal of 406143353420 is 24353341604.

It is an interprime number because it is at equal distance from previous prime (406143353417) and next prime (406143353423).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (406143353423) 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, 10613762 + ... + 10651958.

It is an arithmetic number, because the mean of its divisors is an integer number (10352651148).

Almost surely, 2406143353420 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 406143353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496927255104).

406143353420 is an abundant number, since it is smaller than the sum of its proper divisors (587711156788).

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

406143353420 is a wasteful number, since it uses less digits than its factorization.

406143353420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39699 (or 39697 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 406143353420 in words is "four hundred six billion, one hundred forty-three million, three hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1433 1484 1855 2866 3710 5732 7165 7420 10031 14330 20062 28660 38197 40124 50155 75949 76394 100310 151898 152788 190985 200620 267379 303796 379745 381970 531643 534758 759490 763940 1063286 1069516 1336895 1518980 2024441 2126572 2658215 2673790 4048882 5316430 5347580 8097764 10122205 10632860 14171087 20244410 28342174 40488820 54736301 56684348 70855435 109472602 141710870 218945204 273681505 283421740 383154107 547363010 766308214 1094726020 1532616428 1915770535 2901023953 3831541070 5802047906 7663082140 11604095812 14505119765 20307167671 29010239530 40614335342 58020479060 81228670684 101535838355 203071676710 406143353420