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42304355340324 = 223711103444504217
BaseRepresentation
bin10011001111001110000000…
…00100101001000000100100
312112210020221021001002202120
421213213000010221000210
521021103304431342244
6225550204052305540
711624250235206360
oct1147470004510044
9175706837032676
1042304355340324
11125301a3798870
1248b2a4b0122b0
131a7b38c084c8c
14a637826bc2a0
154d567791e819
hex2679c0129024

42304355340324 has 96 divisors (see below), whose sum is σ = 124262043150336. Its totient is φ = 10881463207680.

The previous prime is 42304355340307. The next prime is 42304355340337.

42304355340324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222156937 + ... + 222347280.

It is an arithmetic number, because the mean of its divisors is an integer number (1294396282816).

Almost surely, 242304355340324 is an apocalyptic number.

42304355340324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42304355340324 is an abundant number, since it is smaller than the sum of its proper divisors (81957687810012).

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

42304355340324 is a wasteful number, since it uses less digits than its factorization.

42304355340324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444504345 (or 444504343 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 4230435 and 5340324, that added together give a palindrome (9570759).

The spelling of 42304355340324 in words is "forty-two trillion, three hundred four billion, three hundred fifty-five million, three hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 103 132 154 206 231 308 309 412 462 618 721 924 1133 1236 1442 2163 2266 2884 3399 4326 4532 6798 7931 8652 13596 15862 23793 31724 47586 95172 444504217 889008434 1333512651 1778016868 2667025302 3111529519 4889546387 5334050604 6223059038 9334588557 9779092774 12446118076 14668639161 18669177114 19558185548 29337278322 34226824709 37338354228 45783934351 58674556644 68453649418 91567868702 102680474127 136907298836 137351803053 183135737404 205360948254 274703606106 320487540457 410721896508 503623277861 549407212212 640975080914 961462621371 1007246555722 1281950161828 1510869833583 1922925242742 2014493111444 3021739667166 3525362945027 3845850485484 6043479334332 7050725890054 10576088835081 14101451780108 21152177670162 42304355340324