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40432144020 = 223519145124443
BaseRepresentation
bin100101101001111100…
…011000111010010100
310212100210012201122120
4211221330120322110
51130301112102040
630324013055540
72630642360622
oct455174307224
9125323181576
1040432144020
1116168989264
127a047875b0
133a74769998
141d57b3c512
1510b98e97d0
hex969f18e94

40432144020 has 96 divisors (see below), whose sum is σ = 119255431680. Its totient is φ = 10206979200.

The previous prime is 40432144003. The next prime is 40432144073. The reversal of 40432144020 is 2044123404.

It is a happy number.

40432144020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1641919 + ... + 1666361.

It is an arithmetic number, because the mean of its divisors is an integer number (1242244080).

Almost surely, 240432144020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40432144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59627715840).

40432144020 is an abundant number, since it is smaller than the sum of its proper divisors (78823287660).

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

40432144020 is a wasteful number, since it uses less digits than its factorization.

40432144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25925 (or 25923 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40432144020 its reverse (2044123404), we get a palindrome (42476267424).

The spelling of 40432144020 in words is "forty billion, four hundred thirty-two million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1451 2902 4353 5804 7255 8706 14510 17412 21765 24443 27569 29020 43530 48886 55138 73329 82707 87060 97772 110276 122215 137845 146658 165414 244430 275690 293316 330828 366645 413535 464417 488860 551380 733290 827070 928834 1393251 1466580 1654140 1857668 2322085 2786502 4644170 5573004 6966255 9288340 13932510 27865020 35466793 70933586 106400379 141867172 177333965 212800758 354667930 425601516 532001895 673869067 709335860 1064003790 1347738134 2021607201 2128007580 2695476268 3369345335 4043214402 6738690670 8086428804 10108036005 13477381340 20216072010 40432144020