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42333212031404 = 22723316421330241
BaseRepresentation
bin10011010000000011110000…
…00100001011100110101100
312112220000102022222220010212
421220001320010023212230
521022041404240001104
6230011335323321552
711626321313063150
oct1150017004134654
9175800368886125
1042333212031404
1112541461626998
1248b85630802b8
131a8100a614708
14a64d1cd53060
154d62b5eaa36e
hex26807810b9ac

42333212031404 has 96 divisors (see below), whose sum is σ = 91211973844992. Its totient is φ = 16791515136000.

The previous prime is 42333212031353. The next prime is 42333212031479. The reversal of 42333212031404 is 40413021233324.

It is a super-2 number, since 2×423332120314042 (a number of 28 digits) contains 22 as substring.

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, 128023724 + ... + 128353964.

It is an arithmetic number, because the mean of its divisors is an integer number (950124727552).

Almost surely, 242333212031404 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 42333212031404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45605986922496).

42333212031404 is an abundant number, since it is smaller than the sum of its proper divisors (48878761813588).

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

42333212031404 is a wasteful number, since it uses less digits than its factorization.

42333212031404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336727 (or 336725 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 42333212031404 its reverse (40413021233324), we get a palindrome (82746233264728).

The spelling of 42333212031404 in words is "forty-two trillion, three hundred thirty-three billion, two hundred twelve million, thirty-one thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 322 434 644 713 868 1426 2852 4991 6421 9982 12842 19964 25684 44947 89894 147683 179788 199051 295366 330241 398102 590732 660482 796204 1033781 1320964 1393357 2067562 2311687 2786714 4135124 4578173 4623374 5573428 7595543 9156346 9246748 10237471 15191086 18312692 20474942 30382172 32047211 40949884 53168801 64094422 71662297 106337602 128188844 143324594 212675204 235461833 286649188 470923666 941847332 1648232831 2120477461 3296465662 4240954922 6592931324 8481909844 14843342227 29686684454 48770981603 59373368908 65734801291 97541963206 131469602582 195083926412 262939205164 341396871221 460143609037 682793742442 920287218074 1365587484884 1511900429693 1840574436148 3023800859386 6047601718772 10583303007851 21166606015702 42333212031404