Search a number
-
+
400420202240430 = 23255218593199377
BaseRepresentation
bin101101100001011100001011…
…1111010100101100110101110
31221111202210112100220122002200
41123002320113322211212232
5404440441033233143210
63535342300151202330
7150225255615015441
oct13302702772454656
91844683470818080
10400420202240430
1110664a288260269
1238ab014b6763a6
13142576034239c8
1470c46268d9658
153145cad3e10c0
hex16c2e17ea59ae

400420202240430 has 96 divisors (see below), whose sum is σ = 1043113419155808. Its totient is φ = 106571458406400.

The previous prime is 400420202240393. The next prime is 400420202240453. The reversal of 400420202240430 is 34042202024004.

400420202240430 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 2 + 0 + 2 + 0 + 224 + 0 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 400420202240394 and 400420202240403.

It is a congruent number.

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, 4029254902 + ... + 4029354278.

It is an arithmetic number, because the mean of its divisors is an integer number (10865764782873).

Almost surely, 2400420202240430 is an apocalyptic number.

400420202240430 is an abundant number, since it is smaller than the sum of its proper divisors (642693216915378).

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

400420202240430 is a wasteful number, since it uses less digits than its factorization.

400420202240430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185842 (or 185839 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 400420202240430 its reverse (34042202024004), we get a palindrome (434462404264434).

The spelling of 400420202240430 in words is "four hundred trillion, four hundred twenty billion, two hundred two million, two hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 521 1042 1563 2605 3126 4689 5210 7815 9378 15630 23445 46890 85931 99377 171862 198754 257793 298131 429655 496885 515586 596262 773379 859310 894393 993770 1288965 1490655 1546758 1788786 2577930 2981310 3866895 4471965 7733790 8943930 44770051 51775417 89540102 103550834 134310153 155326251 223850255 258877085 268620306 310652502 402930459 447700510 465978753 517754170 671550765 776631255 805860918 931957506 1343101530 1553262510 2014652295 2329893765 4029304590 4659787530 8539564987 17079129974 25618694961 42697824935 51237389922 76856084883 85395649870 128093474805 153712169766 256186949610 384280424415 768560848830 4449113358227 8898226716454 13347340074681 22245566791135 26694680149362 40042020224043 44491133582270 66736700373405 80084040448086 133473400746810 200210101120215 400420202240430