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31443479712 = 25323719315289
BaseRepresentation
bin11101010010001011…
…010110110010100000
310000011100110021021200
4131102023112302200
51003344012322322
622240034521200
72162125111341
oct352213266240
9100140407250
1031443479712
111237602a777
126116436200
132c714581c8
1417440380c8
15c4070b8ac
hex7522d6ca0

31443479712 has 144 divisors (see below), whose sum is σ = 92315943720. Its totient is φ = 10144382976.

The previous prime is 31443479687. The next prime is 31443479723. The reversal of 31443479712 is 21797434413.

It can be written as a sum of positive squares in 4 ways, for example, as 29706590736 + 1736888976 = 172356^2 + 41676^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2048964 + ... + 2064252.

Almost surely, 231443479712 is an apocalyptic number.

31443479712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31443479712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46157971860).

31443479712 is an abundant number, since it is smaller than the sum of its proper divisors (60872464008).

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

31443479712 is a wasteful number, since it uses less digits than its factorization.

31443479712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15535 (or 15524 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 31443479712 in words is "thirty-one billion, four hundred forty-three million, four hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 193 222 288 296 333 386 444 579 592 666 772 888 1158 1184 1332 1544 1737 1776 2316 2664 3088 3474 3552 4632 5328 6176 6948 7141 9264 10656 13896 14282 15289 18528 21423 27792 28564 30578 42846 45867 55584 57128 61156 64269 85692 91734 114256 122312 128538 137601 171384 183468 228512 244624 257076 275202 342768 366936 489248 514152 550404 565693 685536 733872 1028304 1100808 1131386 1467744 1697079 2056608 2201616 2262772 2950777 3394158 4403232 4525544 5091237 5901554 6788316 8852331 9051088 10182474 11803108 13576632 17704662 18102176 20364948 23606216 26556993 27153264 35409324 40729896 47212432 53113986 54306528 70818648 81459792 94424864 106227972 109178749 141637296 162919584 212455944 218357498 283274592 327536247 424911888 436714996 655072494 849823776 873429992 982608741 1310144988 1746859984 1965217482 2620289976 3493719968 3930434964 5240579952 7860869928 10481159904 15721739856 31443479712