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40490293284 = 22347215972
BaseRepresentation
bin100101101101011010…
…001101100000100100
310212111211122000110000
4211231122031200210
51130411003341114
630333451301300
72632246546200
oct455532154044
9125454560400
1040490293284
1116198795701
127a2014a830
133a8381942c
141d61757b00
1510bea83e09
hex96d68d824

40490293284 has 135 divisors (see below), whose sum is σ = 123208345953. Its totient is φ = 11561411232.

The previous prime is 40490293279. The next prime is 40490293307. The reversal of 40490293284 is 48239209404.

It is a happy number.

The square root of 40490293284 is 201222.

It is a perfect power (a square), and thus also a powerful number.

40490293284 is a `hidden beast` number, since 40 + 49 + 0 + 293 + 284 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8116208100 + 32374085184 = 90090^2 + 179928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25353174 + ... + 25354770.

Almost surely, 240490293284 is an apocalyptic number.

40490293284 is the 201222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40490293284

40490293284 is an abundant number, since it is smaller than the sum of its proper divisors (82718052669).

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

40490293284 is an equidigital number, since it uses as much as digits as its factorization.

40490293284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40490293284 in words is "forty billion, four hundred ninety million, two hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1597 1764 2268 2646 3194 3969 4791 5292 6388 7938 9582 11179 14373 15876 19164 22358 28746 33537 43119 44716 57492 67074 78253 86238 100611 129357 134148 156506 172476 201222 234759 258714 301833 313012 402444 469518 517428 603666 704277 905499 939036 1207332 1408554 1810998 2112831 2550409 2817108 3621996 4225662 5100818 6338493 7651227 8451324 10201636 12676986 15302454 17852863 22953681 25353972 30604908 35705726 45907362 53558589 68861043 71411452 91814724 107117178 124970041 137722086 160675767 206583129 214234356 249940082 275444172 321351534 374910123 413166258 482027301 499880164 642703068 749820246 826332516 964054602 1124730369 1446081903 1499640492 1928109204 2249460738 2892163806 3374191107 4498921476 5784327612 6748382214 10122573321 13496764428 20245146642 40490293284