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40300001040 = 24351335813607
BaseRepresentation
bin100101100010000100…
…010011011100010000
310212000120120011120010
4211202010103130100
51130013300013130
630302532514520
72624446233255
oct454204233420
9125016504503
1040300001040
1116100333292
12798847ba40
133a53280980
141d4438142c
1510acee60b0
hex962113710

40300001040 has 160 divisors (see below), whose sum is σ = 134614884096. Its totient is φ = 9914480640.

The previous prime is 40300001017. The next prime is 40300001041. The reversal of 40300001040 is 4010000304.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (40300001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11170917 + ... + 11174523.

Almost surely, 240300001040 is an apocalyptic number.

40300001040 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 40300001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67307442048).

40300001040 is an abundant number, since it is smaller than the sum of its proper divisors (94314883056).

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

40300001040 is a wasteful number, since it uses less digits than its factorization.

40300001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7217 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 40300001040 its reverse (4010000304), we get a palindrome (44310001344).

The spelling of 40300001040 in words is "forty billion, three hundred million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3581 3607 7162 7214 10743 10821 14324 14428 17905 18035 21486 21642 28648 28856 35810 36070 42972 43284 46553 46891 53715 54105 57296 57712 71620 72140 85944 86568 93106 93782 107430 108210 139659 140673 143240 144280 171888 173136 186212 187564 214860 216420 232765 234455 279318 281346 286480 288560 372424 375128 429720 432840 465530 468910 558636 562692 698295 703365 744848 750256 859440 865680 931060 937820 1117272 1125384 1396590 1406730 1862120 1875640 2234544 2250768 2793180 2813460 3724240 3751280 5586360 5626920 11172720 11253840 12916667 25833334 38750001 51666668 64583335 77500002 103333336 129166670 155000004 167916671 193750005 206666672 258333340 310000008 335833342 387500010 503750013 516666680 620000016 671666684 775000020 839583355 1007500026 1033333360 1343333368 1550000040 1679166710 2015000052 2518750065 2686666736 3100000080 3358333420 4030000104 5037500130 6716666840 8060000208 10075000260 13433333680 20150000520 40300001040