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40084444480 = 265159778437
BaseRepresentation
bin100101010101001110…
…000001010101000000
310211110112221202112211
4211111032001111000
51124043104210410
630225312431504
72616221104423
oct452516012500
9124415852484
1040084444480
1115aaa695473
127928248594
133a1a70a902
141d238ad9ba
15109911768a
hex955381540

40084444480 has 56 divisors (see below), whose sum is σ = 95512070088. Its totient is φ = 16023533568.

The previous prime is 40084444441. The next prime is 40084444489. The reversal of 40084444480 is 8444448004.

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 40083243264 = 1096^2 + 200208^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40084444489) 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 7 ways as a sum of consecutive naturals, for example, 471822 + ... + 550258.

Almost surely, 240084444480 is an apocalyptic number.

40084444480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40084444480 is an abundant number, since it is smaller than the sum of its proper divisors (55427625608).

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

40084444480 is a wasteful number, since it uses less digits than its factorization.

40084444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80051 (or 80041 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 40084444480 in words is "forty billion, eighty-four million, four hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1597 3194 6388 7985 12776 15970 25552 31940 51104 63880 78437 102208 127760 156874 255520 313748 392185 511040 627496 784370 1254992 1568740 2509984 3137480 5019968 6274960 12549920 25099840 125263889 250527778 501055556 626319445 1002111112 1252638890 2004222224 2505277780 4008444448 5010555560 8016888896 10021111120 20042222240 40084444480