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4134093322212 = 2232750332614577
BaseRepresentation
bin111100001010001011001…
…010011111011111100100
3112122012211001221021000100
4330022023022133133210
51020213110342302322
612443102023144100
7604451454304350
oct74121312373744
915565731837010
104134093322212
1113542939a5317
1256926b5a5030
1323cac6a37ac9
1410413c2d2460
157280d379dac
hex3c28b29f7e4

4134093322212 has 72 divisors (see below), whose sum is σ = 11966680043136. Its totient is φ = 1178821234944.

The previous prime is 4134093322211. The next prime is 4134093322243. The reversal of 4134093322212 is 2122233904314.

4134093322212 is a `hidden beast` number, since 4 + 1 + 3 + 409 + 3 + 32 + 2 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4134093322211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16180533 + ... + 16434044.

It is an arithmetic number, because the mean of its divisors is an integer number (166203889488).

Almost surely, 24134093322212 is an apocalyptic number.

4134093322212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4134093322212 is an abundant number, since it is smaller than the sum of its proper divisors (7832586720924).

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

4134093322212 is a wasteful number, since it uses less digits than its factorization.

4134093322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32615097 (or 32615092 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 4134093322212 in words is "four trillion, one hundred thirty-four billion, ninety-three million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 503 1006 1509 2012 3018 3521 4527 6036 7042 9054 10563 14084 18108 21126 31689 42252 63378 126756 32614577 65229154 97843731 130458308 195687462 228302039 293531193 391374924 456604078 587062386 684906117 913208156 1174124772 1369812234 2054718351 2739624468 4109436702 8218873404 16405132231 32810264462 49215396693 65620528924 98430793386 114835925617 147646190079 196861586772 229671851234 295292380158 344507776851 459343702468 590584760316 689015553702 1033523330553 1378031107404 2067046661106 4134093322212