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31438508069424 = 24310931187722031
BaseRepresentation
bin1110010010111110110010…
…00110110001001000110000
311010022111021200102011110110
413021133121012301020300
513110042031031210144
6150510352355301320
76423233352261231
oct711373106611060
9133274250364413
1031438508069424
11a020aa6228905
123638bb08aa840
13147083bca0301
147a98bbd61088
15397bc396c0b9
hex1c97d91b1230

31438508069424 has 160 divisors (see below), whose sum is σ = 82322282465280. Its totient is φ = 10337702630400.

The previous prime is 31438508069387. The next prime is 31438508069483. The reversal of 31438508069424 is 42496080583413.

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, 1427001289 + ... + 1427023319.

It is an arithmetic number, because the mean of its divisors is an integer number (514514265408).

Almost surely, 231438508069424 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 31438508069424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41161141232640).

31438508069424 is an abundant number, since it is smaller than the sum of its proper divisors (50883774395856).

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

31438508069424 is a wasteful number, since it uses less digits than its factorization.

31438508069424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23339 (or 23333 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 31438508069424 in words is "thirty-one trillion, four hundred thirty-eight billion, five hundred eight million, sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 311 327 436 622 654 872 877 933 1244 1308 1744 1754 1866 2488 2616 2631 3508 3732 4976 5232 5262 7016 7464 10524 14032 14928 21048 22031 33899 42096 44062 66093 67798 88124 95593 101697 132186 135596 176248 191186 203394 264372 271192 272747 286779 352496 382372 406788 528744 542384 545494 573558 764744 813576 818241 1057488 1090988 1147116 1529488 1627152 1636482 2181976 2294232 2401379 3272964 4363952 4588464 4802758 6545928 6851641 7204137 9605516 13091856 13703282 14408274 19211032 19321187 20554923 27406564 28816548 29729423 38422064 38642374 41109846 54813128 57633096 57963561 59458846 77284748 82219692 89188269 109626256 115266192 115927122 118917692 154569496 164439384 178376538 231854244 237835384 309138992 328878768 356753076 463708488 475670768 713506152 746828869 927416976 1427012304 1493657738 2106009383 2240486607 2987315476 4212018766 4480973214 5974630952 6008889157 6318028149 8424037532 8961946428 11949261904 12017778314 12636056298 16848075064 17923892856 18026667471 24035556628 25272112596 33696150128 35847785712 36053334942 48071113256 50544225192 72106669884 96142226512 101088450384 144213339768 288426679536 654968918113 1309937836226 1964906754339 2619875672452 3929813508678 5239751344904 7859627017356 10479502689808 15719254034712 31438508069424