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3101404142304 = 2532134319264337
BaseRepresentation
bin101101001000011010000…
…101111001101011100000
3101222111021012001102211100
4231020122011321223200
5401303133430023204
610332433154114400
7440032454146656
oct55103205715340
911874235042740
103101404142304
11a9633086a766
124210a5b7ba00
131965cc20b680
14aa174626dd6
1555a1bd90a39
hex2d21a179ae0

3101404142304 has 144 divisors (see below), whose sum is σ = 9718935578352. Its totient is φ = 932085633024.

The previous prime is 3101404142299. The next prime is 3101404142329. The reversal of 3101404142304 is 4032414041013.

3101404142304 is a `hidden beast` number, since 3 + 1 + 0 + 14 + 0 + 414 + 230 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9471177 + ... + 9793160.

It is an arithmetic number, because the mean of its divisors is an integer number (67492608183).

Almost surely, 23101404142304 is an apocalyptic number.

It is an amenable number.

3101404142304 is an abundant number, since it is smaller than the sum of its proper divisors (6617531436048).

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

3101404142304 is a wasteful number, since it uses less digits than its factorization.

3101404142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19264409 (or 19264398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3101404142304 its reverse (4032414041013), we get a palindrome (7133818183317).

The spelling of 3101404142304 in words is "three trillion, one hundred one billion, four hundred four million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 12384 13416 17888 20124 26832 40248 53664 80496 160992 19264337 38528674 57793011 77057348 115586022 154114696 173379033 231172044 250436381 308229392 346758066 462344088 500872762 616458784 693516132 751309143 828366491 924688176 1001745524 1387032264 1502618286 1656732982 1849376352 2003491048 2253927429 2485099473 2774064528 3005236572 3313465964 4006982096 4507854858 4970198946 5548129056 6010473144 6626931928 7455298419 8013964192 9015709716 9940397892 10768764383 12020946288 13253863856 14910596838 18031419432 19880795784 21537528766 24041892576 26507727712 29821193676 32306293149 36062838864 39761591568 43075057532 59642387352 64612586298 72125677728 79523183136 86150115064 96918879447 119284774704 129225172596 172300230128 193837758894 238569549408 258450345192 344600460256 387675517788 516900690384 775351035576 1033801380768 1550702071152 3101404142304