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402424341040 = 24523633734513
BaseRepresentation
bin1011101101100100101…
…11000010001000110000
31102110201122101122200201
411312302113002020300
523043131112403130
6504512102124544
741034310313461
oct5666227021060
91373648348621
10402424341040
1114573805a737
1265bab120754
132bc4399a277
141569815ad68
15a70467bbca
hex5db25c2230

402424341040 has 80 divisors (see below), whose sum is σ = 976498803648. Its totient is φ = 153942294528.

The previous prime is 402424341029. The next prime is 402424341043. The reversal of 402424341040 is 40143424204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4024243410402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402424341043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11642824 + ... + 11677336.

Almost surely, 2402424341040 is an apocalyptic number.

402424341040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402424341040 is an abundant number, since it is smaller than the sum of its proper divisors (574074462608).

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

402424341040 is a wasteful number, since it uses less digits than its factorization.

402424341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40886 (or 40880 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 402424341040 its reverse (40143424204), we get a palindrome (442567765244).

The spelling of 402424341040 in words is "four hundred two billion, four hundred twenty-four million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 6337 12674 25348 31685 34513 50696 63370 69026 101392 126740 138052 145751 172565 253480 276104 291502 345130 506960 552208 583004 690260 728755 793799 1166008 1380520 1457510 1587598 2332016 2761040 2915020 3175196 3968995 5830040 6350392 7937990 11660080 12700784 15875980 31751960 63503920 218708881 437417762 874835524 1093544405 1749671048 2187088810 3499342096 4374177620 5030304263 8748355240 10060608526 17496710480 20121217052 25151521315 40242434104 50303042630 80484868208 100606085260 201212170520 402424341040