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40030567471440 = 2432572132347263307
BaseRepresentation
bin10010001101000010101111…
…10000010001100101010000
312020201212220002000110011100
421012201113300101211100
520221330100233041230
6221045442215144400
711301053531212200
oct1106412760214520
9166655802013140
1040030567471440
1111833960819867
1245a6238075100
131944b353a9580
149c56c0040400
1549644858a660
hex246857c11950

40030567471440 has 2880 divisors, whose sum is σ = 180745007579136. Its totient is φ = 7851181105152.

The previous prime is 40030567471337. The next prime is 40030567471469. The reversal of 40030567471440 is 4417476503004.

40030567471440 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 0 + 567 + 47 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 130392727767 + ... + 130392728073.

Almost surely, 240030567471440 is an apocalyptic number.

40030567471440 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 40030567471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90372503789568).

40030567471440 is an abundant number, since it is smaller than the sum of its proper divisors (140714440107696).

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

40030567471440 is a wasteful number, since it uses less digits than its factorization.

40030567471440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 40030567471440 in words is "forty trillion, thirty billion, five hundred sixty-seven million, four hundred seventy-one thousand, four hundred forty".