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42432222223424 = 2611611831539641
BaseRepresentation
bin10011010010111100001011…
…00010000101110001000000
312120020110222112010210002202
421221132011202011301000
521030202142342122144
6230125032131332332
711636425010610125
oct1151360542056100
9176213875123082
1042432222223424
111257a44a26a670
1249137954510a8
131a8a459045057
14a69a3275a74c
154d8b5d37864e
hex269785885c40

42432222223424 has 112 divisors (see below), whose sum is σ = 93413118118272. Its totient is φ = 18960791040000.

The previous prime is 42432222223411. The next prime is 42432222223441.

42432222223424 is nontrivially palindromic in base 10.

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, 78360644 + ... + 78900284.

Almost surely, 242432222223424 is an apocalyptic number.

42432222223424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42432222223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46706559059136).

42432222223424 is an abundant number, since it is smaller than the sum of its proper divisors (50980895894848).

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

42432222223424 is a wasteful number, since it uses less digits than its factorization.

42432222223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541556 (or 541546 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

It can be divided in two parts, 4243222 and 2223424, that added together give a palindrome (6466646).

The spelling of 42432222223424 in words is "forty-two trillion, four hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 176 244 352 488 671 704 976 1342 1831 1952 2684 3662 3904 5368 7324 10736 14648 20141 21472 29296 40282 42944 58592 80564 111691 117184 161128 223382 322256 446764 539641 644512 893528 1079282 1228601 1289024 1787056 2158564 2457202 3574112 4317128 4914404 5936051 7148224 8634256 9828808 11872102 17268512 19657616 23744204 32918101 34537024 39315232 47488408 65836202 78630464 94976816 131672404 189953632 263344808 362099111 379907264 526689616 724198222 988082671 1053379232 1448396444 1976165342 2106758464 2896792888 3952330684 5793585776 7904661368 10868909381 11587171552 15809322736 21737818762 23174343104 31618645472 43475637524 60273042931 63237290944 86951275048 120546085862 173902550096 241092171724 347805100192 482184343448 663003472241 695610200384 964368686896 1326006944482 1928737373792 2652013888964 3857474747584 5304027777928 10608055555856 21216111111712 42432222223424