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40324012032 = 21131132412
BaseRepresentation
bin100101100011011111…
…111001100000000000
310212002020202001110010
4211203133321200000
51130040421341112
630305151304520
72625160306203
oct454337714000
9125066661403
1040324012032
1116112943087
12799451b140
133a58239965
141d4763193a
1510b018a63c
hex9637f9800

40324012032 has 144 divisors (see below), whose sum is σ = 108907704360. Its totient is φ = 13267107840.

The previous prime is 40324012021. The next prime is 40324012033. The reversal of 40324012032 is 23021042304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40324012033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167319432 + ... + 167319672.

Almost surely, 240324012032 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 40324012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54453852180).

40324012032 is an abundant number, since it is smaller than the sum of its proper divisors (68583692328).

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

40324012032 is an equidigital number, since it uses as much as digits as its factorization.

40324012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 40324012032 its reverse (23021042304), we get a palindrome (63345054336).

The spelling of 40324012032 in words is "forty billion, three hundred twenty-four million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 241 256 339 384 452 482 512 678 723 768 904 964 1024 1356 1446 1536 1808 1928 2048 2712 2892 3072 3616 3856 5424 5784 6144 7232 7712 10848 11568 14464 15424 21696 23136 27233 28928 30848 43392 46272 54466 57856 58081 61696 81699 86784 92544 108932 115712 116162 123392 163398 173568 174243 185088 217864 231424 232324 246784 326796 347136 348486 370176 435728 464648 493568 653592 694272 696972 740352 871456 929296 1307184 1393944 1480704 1742912 1858592 2614368 2787888 3485824 3717184 5228736 5575776 6563153 6971648 7434368 10457472 11151552 13126306 13943296 14868736 19689459 20914944 22303104 26252612 27886592 29737472 39378918 41829888 44606208 52505224 55773184 59474944 78757836 83659776 89212416 105010448 118949888 157515672 167319552 178424832 210020896 315031344 356849664 420041792 630062688 840083584 1260125376 1680167168 2520250752 3360334336 5040501504 6720668672 10081003008 13441337344 20162006016 40324012032