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402430201040 = 24573773266059
BaseRepresentation
bin1011101101100101011…
…01011000110011010000
31102110202001102101002202
411312302231120303100
523043134112413130
6504512431502332
741034411161150
oct5666255306320
91373661371082
10402430201040
111457403a240a
1265bb10879a8
132bc44c6c61a
1415698c44760
15a704e38145
hex5db2b58cd0

402430201040 has 160 divisors (see below), whose sum is σ = 1113263151360. Its totient is φ = 132407488512.

The previous prime is 402430201027. The next prime is 402430201099. The reversal of 402430201040 is 40102034204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 1379531 + ... + 1645589.

It is an arithmetic number, because the mean of its divisors is an integer number (6957894696).

Almost surely, 2402430201040 is an apocalyptic number.

402430201040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402430201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556631575680).

402430201040 is an abundant number, since it is smaller than the sum of its proper divisors (710832950320).

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

402430201040 is a wasteful number, since it uses less digits than its factorization.

402430201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266189 (or 266183 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 402430201040 its reverse (40102034204), we get a palindrome (442532235244).

The spelling of 402430201040 in words is "four hundred two billion, four hundred thirty million, two hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 73 74 80 112 140 146 148 185 259 280 292 296 365 370 511 518 560 584 592 730 740 1022 1036 1168 1295 1460 1480 2044 2072 2555 2590 2701 2920 2960 4088 4144 5110 5180 5402 5840 8176 10220 10360 10804 13505 18907 20440 20720 21608 27010 37814 40880 43216 54020 75628 94535 108040 151256 189070 216080 266059 302512 378140 532118 756280 1064236 1330295 1512560 1862413 2128472 2660590 3724826 4256944 5321180 7449652 9312065 9844183 10642360 14899304 18624130 19422307 19688366 21284720 29798608 37248260 38844614 39376732 49220915 68909281 74496520 77689228 78753464 97111535 98441830 135956149 137818562 148993040 155378456 157506928 194223070 196883660 271912298 275637124 310756912 344546405 388446140 393767320 543824596 551274248 679780745 689092810 718625359 776892280 787534640 1087649192 1102548496 1359561490 1378185620 1437250718 1553784560 2175298384 2719122980 2756371240 2874501436 3593126795 5030377513 5438245960 5512742480 5749002872 7186253590 10060755026 10876491920 11498005744 14372507180 20121510052 25151887565 28745014360 40243020104 50303775130 57490028720 80486040208 100607550260 201215100520 402430201040