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42043263398832 = 24329411201613381
BaseRepresentation
bin10011000111100111101011…
…10001111011001110110000
312111212022000022111020101110
421203303311301323032300
521002314100412230312
6225230224130033320
711566345155263643
oct1143636561731660
9174768008436343
1042043263398832
111243a4a2139823
124870323a18840
131a5c880019bc7
14a54c94b05a5a
154cd995e5443c
hex263cf5c7b3b0

42043263398832 has 160 divisors (see below), whose sum is σ = 115193434023360. Its totient is φ = 13190123520000.

The previous prime is 42043263398761. The next prime is 42043263398833. The reversal of 42043263398832 is 23889336234024.

It is not an unprimeable number, because it can be changed into a prime (42043263398833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68236782 + ... + 68850162.

It is an arithmetic number, because the mean of its divisors is an integer number (719958962646).

Almost surely, 242043263398832 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 42043263398832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57596717011680).

42043263398832 is an abundant number, since it is smaller than the sum of its proper divisors (73150170624528).

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

42043263398832 is a wasteful number, since it uses less digits than its factorization.

42043263398832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614663 (or 614657 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 57.

The spelling of 42043263398832 in words is "forty-two trillion, forty-three billion, two hundred sixty-three million, three hundred ninety-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 116 123 164 174 232 246 328 348 464 492 656 696 984 1189 1201 1392 1968 2378 2402 3567 3603 4756 4804 7134 7206 9512 9608 14268 14412 19024 19216 28536 28824 34829 49241 57072 57648 69658 98482 104487 139316 147723 196964 208974 278632 295446 393928 417948 557264 590892 613381 787856 835896 1181784 1226762 1427989 1671792 1840143 2363568 2453524 2855978 3680286 4283967 4907048 5711956 7360572 8567934 9814096 11423912 14721144 17135868 17788049 22847824 25148621 29442288 34271736 35576098 50297242 53364147 68543472 71152196 75445863 100594484 106728294 142304392 150891726 201188968 213456588 284608784 301783452 402377936 426913176 603566904 729310009 736670581 853826352 1207133808 1458620018 1473341162 2187930027 2210011743 2917240036 2946682324 4375860054 4420023486 5834480072 5893364648 8751720108 8840046972 11668960144 11786729296 17503440216 17680093944 21363446849 30203493821 35006880432 35360187888 42726893698 60406987642 64090340547 85453787396 90610481463 120813975284 128180681094 170907574792 181220962926 241627950568 256361362188 341815149584 362441925852 483255901136 512722724376 724883851704 875901320809 1025445448752 1449767703408 1751802641618 2627703962427 3503605283236 5255407924854 7007210566472 10510815849708 14014421132944 21021631699416 42043263398832