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32230040331344 = 24191312413358141
BaseRepresentation
bin1110101010000001001000…
…00110101110010001010000
311020010011100221000020112012
413111000210012232101100
513211024110311100334
6152314135350522052
76534354305425232
oct725004406562120
9136104327006465
1032230040331344
11a2a6757593659
123746493366328
1314ca38383917b
147d5d29864252
153ad59d66e9ce
hex1d50241ae450

32230040331344 has 80 divisors (see below), whose sum is σ = 66508942589760. Its totient is φ = 15087451392000.

The previous prime is 32230040331331. The next prime is 32230040331353. The reversal of 32230040331344 is 44313304003223.

It is a self number, because there is not a number n which added to its sum of digits gives 32230040331344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7918514 + ... + 11276654.

It is an arithmetic number, because the mean of its divisors is an integer number (831361782372).

Almost surely, 232230040331344 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 32230040331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33254471294880).

32230040331344 is an abundant number, since it is smaller than the sum of its proper divisors (34278902258416).

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

32230040331344 is a wasteful number, since it uses less digits than its factorization.

32230040331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358540 (or 3358534 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 32230040331344 its reverse (44313304003223), we get a palindrome (76543344334567).

The spelling of 32230040331344 in words is "thirty-two trillion, two hundred thirty billion, forty million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 131 152 241 262 304 482 524 964 1048 1928 2096 2489 3856 4579 4978 9158 9956 18316 19912 31571 36632 39824 63142 73264 126284 252568 505136 599849 1199698 2399396 3358141 4798792 6716282 9597584 13432564 26865128 53730256 63804679 127609358 255218716 439916471 510437432 809311981 879832942 1020874864 1618623962 1759665884 3237247924 3519331768 6474495848 7038663536 8358412949 12948991696 15376927639 16716825898 30753855278 33433651796 61507710556 66867303592 106019869511 123015421112 133734607184 212039739022 246030842224 424079478044 848158956088 1696317912176 2014377520709 4028755041418 8057510082836 16115020165672 32230040331344