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413142020424 = 23337377384921
BaseRepresentation
bin1100000001100010010…
…11101111000101001000
31110111101120121011212000
412000301023233011020
523232103324123144
6513443403151000
741564021142240
oct6006113570510
91414346534760
10413142020424
1114a237999901
12680a0515460
132cc61276ba3
1415dd373ab20
15ab30550769
hex60312ef148

413142020424 has 128 divisors (see below), whose sum is σ = 1347009772800. Its totient is φ = 114850275840.

The previous prime is 413142020407. The next prime is 413142020449. The reversal of 413142020424 is 424020241314.

413142020424 is a `hidden beast` number, since 4 + 1 + 31 + 4 + 202 + 0 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3636517 + ... + 3748404.

It is an arithmetic number, because the mean of its divisors is an integer number (10523513850).

Almost surely, 2413142020424 is an apocalyptic number.

It is an amenable number.

413142020424 is an abundant number, since it is smaller than the sum of its proper divisors (933867752376).

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

413142020424 is a wasteful number, since it uses less digits than its factorization.

413142020424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384980 (or 7384970 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 413142020424 its reverse (424020241314), we get a palindrome (837162261738).

The spelling of 413142020424 in words is "four hundred thirteen billion, one hundred forty-two million, twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2331 2664 3108 3996 4662 6216 6993 7992 9324 13986 18648 27972 55944 7384921 14769842 22154763 29539684 44309526 51694447 59079368 66464289 88619052 103388894 132928578 155083341 177238104 199392867 206777788 265857156 273242077 310166682 398785734 413555576 465250023 531714312 546484154 620333364 797571468 819726231 930500046 1092968308 1240666728 1395750069 1595142936 1639452462 1861000092 1912694539 2185936616 2459178693 2791500138 3278904924 3722000184 3825389078 4918357386 5583000276 5738083617 6557809848 7377536079 7650778156 9836714772 11166000552 11476167234 14755072158 15301556312 17214250851 19673429544 22952334468 29510144316 34428501702 45904668936 51642752553 59020288632 68857003404 103285505106 137714006808 206571010212 413142020424