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141122431214304 = 2533147420171779
BaseRepresentation
bin100000000101100110100000…
…011000011110001011100000
3200111200011122212121001121220
4200011212200120132023200
5121444122214342324204
61220050425551215040
741503521255140631
oct4005464030361340
9614604585531556
10141122431214304
1140a69761403581
12139b2580817480
136098a3278ab37
1426bc50d903888
15114adb93981d9
hex8059a061e2e0

141122431214304 has 48 divisors (see below), whose sum is σ = 382396265233920. Its totient is φ = 45523364906880.

The previous prime is 141122431214293. The next prime is 141122431214393. The reversal of 141122431214304 is 403412134221141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23710082914 + ... + 23710088865.

It is an arithmetic number, because the mean of its divisors is an integer number (7966588859040).

Almost surely, 2141122431214304 is an apocalyptic number.

It is an amenable number.

141122431214304 is an abundant number, since it is smaller than the sum of its proper divisors (241273834019616).

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

141122431214304 is a wasteful number, since it uses less digits than its factorization.

141122431214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47420171823 (or 47420171815 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 141122431214304 its reverse (403412134221141), we get a palindrome (544534565435445).

The spelling of 141122431214304 in words is "one hundred forty-one trillion, one hundred twenty-two billion, four hundred thirty-one million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 47420171779 94840343558 142260515337 189680687116 284521030674 379361374232 569042061348 758722748464 1138084122696 1470025325149 1517445496928 2276168245392 2940050650298 4410075975447 4552336490784 5880101300596 8820151950894 11760202601192 17640303901788 23520405202384 35280607803576 47040810404768 70561215607152 141122431214304