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421013040040 = 23515768299817
BaseRepresentation
bin1100010000001100101…
…01010010101110101000
31111020201010022101221001
412020012111102232220
523344213314240130
6521224414324344
742263044536265
oct6100625225650
91436633271831
10421013040040
1115260698139a
12697184b96b4
1330916b6a648
141653cc2c26c
15ae4156e6ca
hex6206552ba8

421013040040 has 64 divisors (see below), whose sum is σ = 953549686800. Its totient is φ = 167291025408.

The previous prime is 421013040023. The next prime is 421013040109. The reversal of 421013040040 is 40040310124.

It can be written as a sum of positive squares in 8 ways, for example, as 290889792964 + 130123247076 = 539342^2 + 360726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42881212 + ... + 42891028.

Almost surely, 2421013040040 is an apocalyptic number.

421013040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421013040040 is an abundant number, since it is smaller than the sum of its proper divisors (532536646760).

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

421013040040 is a wasteful number, since it uses less digits than its factorization.

421013040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16814 (or 16810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 421013040040 its reverse (40040310124), we get a palindrome (461053350164).

The spelling of 421013040040 in words is "four hundred twenty-one billion, thirteen million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 6829 9817 13658 19634 27316 34145 39268 49085 54632 68290 78536 98170 136580 196340 273160 392680 1072153 1541269 2144306 3082538 4288612 5360765 6165076 7706345 8577224 10721530 12330152 15412690 21443060 30825380 42886120 61650760 67040293 134080586 268161172 335201465 536322344 670402930 1340805860 2681611720 10525326001 21050652002 42101304004 52626630005 84202608008 105253260010 210506520020 421013040040