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422344114432 = 2823895871373
BaseRepresentation
bin1100010010101011010…
…10111100000100000000
31111101010212221222201121
412021111222330010000
523404430043130212
6522004444042024
742341036511532
oct6112552740400
91441125858647
10422344114432
1115312a273279
1269a2a233314
1330a99865626
141662791b852
15aebd34bd07
hex6255abc100

422344114432 has 144 divisors (see below), whose sum is σ = 891740949120. Its totient is φ = 199235649536.

The previous prime is 422344114417. The next prime is 422344114471. The reversal of 422344114432 is 234411443224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307606098 + ... + 307607470.

It is an arithmetic number, because the mean of its divisors is an integer number (6192645480).

Almost surely, 2422344114432 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 422344114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445870474560).

422344114432 is an abundant number, since it is smaller than the sum of its proper divisors (469396834688).

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

422344114432 is a wasteful number, since it uses less digits than its factorization.

422344114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2074 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

Adding to 422344114432 its reverse (234411443224), we get a palindrome (656755557656).

The spelling of 422344114432 in words is "four hundred twenty-two billion, three hundred forty-four million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 356 368 587 712 736 1174 1373 1424 1472 2047 2348 2746 2848 2944 4094 4696 5492 5696 5888 8188 9392 10984 11392 13501 16376 18784 21968 22784 27002 31579 32752 37568 43936 52243 54004 63158 65504 75136 87872 104486 108008 122197 126316 131008 150272 175744 208972 216016 244394 252632 262016 351488 417944 432032 488788 505264 524032 805951 835888 864064 977576 1010528 1201589 1611902 1671776 1728128 1955152 2021056 2403178 2810531 3223804 3343552 3456256 3910304 4042112 4806356 5621062 6447608 6687104 7820608 8084224 9612712 11242124 12895216 13374208 15641216 18536873 19225424 22484248 25790432 31282432 37073746 38450848 44968496 51580864 71729639 74147492 76901696 89936992 103161728 143459278 148294984 153803392 179873984 206323456 286918556 296589968 307606784 359747968 573837112 593179936 719495936 1147674224 1186359872 1649781697 2295348448 2372719744 3299563394 4590696896 4745439488 6599126788 9181393792 13198253576 18362787584 26396507152 52793014304 105586028608 211172057216 422344114432