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40930361472 = 2737111328191
BaseRepresentation
bin100110000111101000…
…111100000010000000
310220122111200210111210
4212013220330002000
51132311133031342
630445251410120
72646202221630
oct460750740200
9126574623453
1040930361472
11163a4138420
127b235b3940
133b23a49600
141da3d8c6c0
1510e850e79c
hex987a3c080

40930361472 has 384 divisors, whose sum is σ = 146795397120. Its totient is φ = 9812275200.

The previous prime is 40930361467. The next prime is 40930361477. The reversal of 40930361472 is 27416303904.

It is an interprime number because it is at equal distance from previous prime (40930361467) and next prime (40930361477).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 40930361472.

It is not an unprimeable number, because it can be changed into a prime (40930361477) 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 47 ways as a sum of consecutive naturals, for example, 4992897 + ... + 5001087.

It is an arithmetic number, because the mean of its divisors is an integer number (382279680).

Almost surely, 240930361472 is an apocalyptic number.

40930361472 is a gapful number since it is divisible by the number (42) 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 40930361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73397698560).

40930361472 is an abundant number, since it is smaller than the sum of its proper divisors (105865035648).

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

40930361472 is a wasteful number, since it uses less digits than its factorization.

40930361472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 40930361472 in words is "forty billion, nine hundred thirty million, three hundred sixty-one thousand, four hundred seventy-two".