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31433212142420 = 225112911527427417
BaseRepresentation
bin1110010010110100111010…
…11100011010001101010100
311010021222121121012012100212
413021122131130122031110
513110000204302024140
6150504115053224552
76422655204526634
oct711323534321524
9133258547165325
1031433212142420
11a019828879530
123637b73192158
1314701a6a3b7aa
147a953886a6c4
153979b3a5d765
hex1c969d71a354

31433212142420 has 96 divisors (see below), whose sum is σ = 74500393524480. Its totient is φ = 11035128867840.

The previous prime is 31433212142407. The next prime is 31433212142447. The reversal of 31433212142420 is 2424121233413.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73328552 + ... + 73755968.

It is an arithmetic number, because the mean of its divisors is an integer number (776045765880).

Almost surely, 231433212142420 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 31433212142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37250196762240).

31433212142420 is an abundant number, since it is smaller than the sum of its proper divisors (43067181382060).

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

31433212142420 is a wasteful number, since it uses less digits than its factorization.

31433212142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438993 (or 438991 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 31433212142420 its reverse (2424121233413), we get a palindrome (33857333375833).

The spelling of 31433212142420 in words is "thirty-one trillion, four hundred thirty-three billion, two hundred twelve million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 11527 23054 46108 57635 115270 126797 230540 253594 334283 427417 507188 633985 668566 854834 1267970 1337132 1671415 1709668 2137085 2535940 3342830 3677113 4274170 4701587 6685660 7354226 8548340 9403174 12395093 14708452 18385565 18806348 23507935 24790186 36771130 47015870 49580372 61975465 73542260 94031740 123950930 136346023 247901860 272692046 545384092 681730115 1363460230 2726920460 4926835759 9853671518 19707343036 24634178795 49268357590 54195193349 98536715180 108390386698 142878237011 216780773396 270975966745 285756474022 541951933490 571512948044 714391185055 1083903866980 1428782370110 1571660607121 2857564740220 3143321214242 6286642428484 7858303035605 15716606071210 31433212142420