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404030404100 = 2252294127112539
BaseRepresentation
bin1011110000100100001…
…01101011011000000100
31102121212120111010000202
411320102011223120010
523104423240412400
6505335313430032
741122151525201
oct5702205533004
91377776433022
10404030404100
111463916a2684
1266378b6b318
132c13b64693b
14157ab58cca8
15a79a6774d5
hex5e1216b604

404030404100 has 144 divisors (see below), whose sum is σ = 932602809600. Its totient is φ = 151659648000.

The previous prime is 404030404093. The next prime is 404030404111. The reversal of 404030404100 is 1404030404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32215631 + ... + 32228169.

It is an arithmetic number, because the mean of its divisors is an integer number (6476408400).

Almost surely, 2404030404100 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 404030404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466301404800).

404030404100 is an abundant number, since it is smaller than the sum of its proper divisors (528572405500).

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

404030404100 is a wasteful number, since it uses less digits than its factorization.

404030404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12894 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 404030404100 its reverse (1404030404), we get a palindrome (405434434504).

The spelling of 404030404100 in words is "four hundred four billion, thirty million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 271 290 410 542 580 725 820 1025 1084 1189 1355 1450 2050 2378 2710 2900 4100 4756 5420 5945 6775 7859 11111 11890 12539 13550 15718 22222 23780 25078 27100 29725 31436 39295 44444 50156 55555 59450 62695 78590 111110 118900 125390 157180 196475 222220 250780 277775 313475 322219 363631 392950 514099 555550 626950 644438 727262 785900 1028198 1111100 1253900 1288876 1454524 1611095 1818155 2056396 2570495 3222190 3398069 3636310 5140990 6444380 6796138 7272620 8055475 9090775 10281980 12852475 13592276 14908871 16110950 16990345 18181550 25704950 29817742 32221900 33980690 36363100 51409900 59635484 67961380 74544355 84951725 98544001 139320829 149088710 169903450 197088002 278641658 298177420 339806900 372721775 394176004 492720005 557283316 696604145 745443550 985440010 1393208290 1490887100 1970880020 2463600025 2786416580 3483020725 4040304041 4927200050 6966041450 8080608082 9854400100 13932082900 16161216164 20201520205 40403040410 80806080820 101007601025 202015202050 404030404100