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3971412331308 = 223459712926103
BaseRepresentation
bin111001110010101010100…
…111110000101100101100
3112001122220112221122220000
4321302222213300230230
51010031423024100213
612240235221024300
7556632204556212
oct71625247605454
915048815848800
103971412331308
1112a12a27a9aa4
12541829b55090
1322a66c20bb46
14da3086d6cb2
156d48b35ec73
hex39caa9f0b2c

3971412331308 has 120 divisors (see below), whose sum is σ = 10706731580160. Its totient is φ = 1283037204960.

The previous prime is 3971412331307. The next prime is 3971412331319. The reversal of 3971412331308 is 8031332141793.

3971412331308 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 4 + 1 + 2 + 331 + 308 = 666.

It is not an unprimeable number, because it can be changed into a prime (3971412331307) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105816 + ... + 2820287.

It is an arithmetic number, because the mean of its divisors is an integer number (89222763168).

Almost surely, 23971412331308 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 3971412331308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353365790080).

3971412331308 is an abundant number, since it is smaller than the sum of its proper divisors (6735319248852).

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

3971412331308 is a wasteful number, since it uses less digits than its factorization.

3971412331308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926249 (or 2926238 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3971412331308 in words is "three trillion, nine hundred seventy-one billion, four hundred twelve million, three hundred thirty-one thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 71 81 108 118 142 162 177 213 236 284 324 354 426 531 639 708 852 1062 1278 1593 1917 2124 2556 3186 3834 4189 4779 5751 6372 7668 8378 9558 11502 12567 16756 19116 23004 25134 37701 50268 75402 113103 150804 226206 339309 452412 678618 1357236 2926103 5852206 8778309 11704412 17556618 26334927 35113236 52669854 79004781 105339708 158009562 172640077 207753313 237014343 316019124 345280154 415506626 474028686 517920231 623259939 690560308 831013252 948057372 1035840462 1246519878 1553760693 1869779817 2071680924 2493039756 3107521386 3739559634 4661282079 5609339451 6215042772 7479119268 9322564158 11218678902 12257445467 13983846237 16828018353 18645128316 22437357804 24514890934 27967692474 33656036706 36772336401 49029781868 55935384948 67312073412 73544672802 110317009203 147089345604 220634018406 330951027609 441268036812 661902055218 992853082827 1323804110436 1985706165654 3971412331308