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40130003040 = 2535103811691
BaseRepresentation
bin100101010111111011…
…110100000001100000
310211120201200101010220
4211113323310001200
51124141240044130
630234021123040
72620313253261
oct452773640140
9124521611126
1040130003040
1116023382276
12793b559480
133a26c9c53a
141d2996c968
15109d116410
hex957ef4060

40130003040 has 96 divisors (see below), whose sum is σ = 127636943616. Its totient is φ = 10597424640.

The previous prime is 40130003029. The next prime is 40130003071. The reversal of 40130003040 is 4030003104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401300030402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 356406 + ... + 455285.

It is an arithmetic number, because the mean of its divisors is an integer number (1329551496).

Almost surely, 240130003040 is an apocalyptic number.

40130003040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40130003040 is an abundant number, since it is smaller than the sum of its proper divisors (87506940576).

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

40130003040 is a wasteful number, since it uses less digits than its factorization.

40130003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811812 (or 811804 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 40130003040 its reverse (4030003104), we get a palindrome (44160006144).

The spelling of 40130003040 in words is "forty billion, one hundred thirty million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 811691 1623382 2435073 3246764 4058455 4870146 6493528 8116910 9740292 12175365 12987056 16233820 19480584 24350730 25974112 32467640 38961168 48701460 64935280 77922336 83604173 97402920 129870560 167208346 194805840 250812519 334416692 389611680 418020865 501625038 668833384 836041730 1003250076 1254062595 1337666768 1672083460 2006500152 2508125190 2675333536 3344166920 4013000304 5016250380 6688333840 8026000608 10032500760 13376667680 20065001520 40130003040