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40240202000 = 2453233472521
BaseRepresentation
bin100101011110100000…
…001100000100010000
310211212102001001200212
4211132200030010100
51124402442431000
630252555103252
72623122034115
oct453640140420
9124772031625
1040240202000
111607a5aa399
127970441b28
133a43a7431b
141d3a45690c
1510a7b32c35
hex95e80c110

40240202000 has 160 divisors (see below), whose sum is σ = 101864265984. Its totient is φ = 15345792000.

The previous prime is 40240201979. The next prime is 40240202003. The reversal of 40240202000 is 20204204.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40240202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15960740 + ... + 15963260.

Almost surely, 240240202000 is an apocalyptic number.

40240202000 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 40240202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50932132992).

40240202000 is an abundant number, since it is smaller than the sum of its proper divisors (61624063984).

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

40240202000 is a wasteful number, since it uses less digits than its factorization.

40240202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 40240202000 its reverse (20204204), we get a palindrome (40260406204).

The spelling of 40240202000 in words is "forty billion, two hundred forty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 347 368 400 460 500 575 694 920 1000 1150 1388 1735 1840 2000 2300 2521 2776 2875 3470 4600 5042 5552 5750 6940 7981 8675 9200 10084 11500 12605 13880 15962 17350 20168 23000 25210 27760 31924 34700 39905 40336 43375 46000 50420 57983 63025 63848 69400 79810 86750 100840 115966 126050 127696 138800 159620 173500 199525 201680 231932 252100 289915 315125 319240 347000 399050 463864 504200 579830 630250 638480 694000 798100 874787 927728 997625 1008400 1159660 1260500 1449575 1596200 1749574 1995250 2319320 2521000 2899150 3192400 3499148 3990500 4373935 4638640 5042000 5798300 6998296 7247875 7981000 8747870 11596600 13996592 14495750 15962000 17495740 20120101 21869675 23193200 28991500 34991480 40240202 43739350 57983000 69982960 80480404 87478700 100600505 109348375 115966000 160960808 174957400 201201010 218696750 321921616 349914800 402402020 437393500 503002525 804804040 874787000 1006005050 1609608080 1749574000 2012010100 2515012625 4024020200 5030025250 8048040400 10060050500 20120101000 40240202000