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422423323324224 = 263101181211202107
BaseRepresentation
bin110000000001100010001100…
…0001000011010111101000000
32001101200021102201002110210120
41200003010120020122331000
5420331440431232333344
64054230332402100240
7154656035513235165
oct14003043010327500
92041607381073716
10422423323324224
111126627a8510582
123b46457834a680
131519246b769641
14764557dd2c06c
1533c8300265219
hex180311821af40

422423323324224 has 112 divisors (see below), whose sum is σ = 1128790894535616. Its totient is φ = 139405828608000.

The previous prime is 422423323324201. The next prime is 422423323324271.

422423323324224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 350801379 + ... + 352003485.

Almost surely, 2422423323324224 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 422423323324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564395447267808).

422423323324224 is an abundant number, since it is smaller than the sum of its proper divisors (706367571211392).

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

422423323324224 is a wasteful number, since it uses less digits than its factorization.

422423323324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220344 (or 1220334 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 42.

The spelling of 422423323324224 in words is "four hundred twenty-two trillion, four hundred twenty-three billion, three hundred twenty-three million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 2424 3232 4848 6464 9696 18121 19392 36242 54363 72484 108726 144968 217452 289936 434904 579872 869808 1159744 1202107 1739616 1830221 2404214 3479232 3606321 3660442 4808428 5490663 7212642 7320884 9616856 10981326 14425284 14641768 19233712 21962652 28850568 29283536 38467424 43925304 57701136 58567072 76934848 87850608 115402272 117134144 121412807 175701216 230804544 242825614 351402432 364238421 485651228 728476842 971302456 1456953684 1942604912 2913907368 3885209824 5827814736 7770419648 11655629472 21783380947 23311258944 43566761894 65350142841 87133523788 130700285682 174267047576 261400571364 348534095152 522801142728 697068190304 1045602285456 1394136380608 2091204570912 2200121475647 4182409141824 4400242951294 6600364426941 8800485902588 13200728853882 17600971805176 26401457707764 35201943610352 52802915415528 70403887220704 105605830831056 140807774441408 211211661662112 422423323324224