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4124210204412 = 22323133729713691
BaseRepresentation
bin111100000000111110000…
…101011000111011111100
3112121021022022002212010100
4330000332011120323330
51020032340303020122
612434345213441100
7603651526220004
oct74007605307374
915537268085110
104124210204412
111350082162671
125673717a0190
1323bbb03223cc
141038818b7004
15724308a8aac
hex3c03e158efc

4124210204412 has 144 divisors (see below), whose sum is σ = 10799871007744. Its totient is φ = 1325636928000.

The previous prime is 4124210204363. The next prime is 4124210204483. The reversal of 4124210204412 is 2144020124214.

4124210204412 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 210 + 2 + 0 + 441 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117367487 + ... + 1117371177.

Almost surely, 24124210204412 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 4124210204412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399935503872).

4124210204412 is an abundant number, since it is smaller than the sum of its proper divisors (6675660803332).

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

4124210204412 is a wasteful number, since it uses less digits than its factorization.

4124210204412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4124210204412 its reverse (2144020124214), we get a palindrome (6268230328626).

The spelling of 4124210204412 in words is "four trillion, one hundred twenty-four billion, two hundred ten million, two hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 337 372 558 674 1011 1116 1348 2022 2971 3033 3691 4044 5942 6066 7382 8913 10447 11073 11884 12132 14764 17826 20894 22146 26739 31341 33219 35652 41788 44292 53478 62682 66438 92101 94023 106956 114421 125364 132876 184202 188046 228842 276303 343263 368404 376092 457684 552606 686526 828909 1001227 1029789 1105212 1243867 1373052 1657818 2002454 2059578 2487734 3003681 3315636 3731601 4004908 4119156 4975468 6007362 7463202 9011043 10965961 11194803 12014724 14926404 18022086 21931922 22389606 31038037 32897883 36044172 38559877 43863844 44779212 62076074 65795766 77119754 93114111 98693649 115679631 124152148 131591532 154239508 186228222 197387298 231359262 279342333 339944791 347038893 372456444 394774596 462718524 558684666 679889582 694077786 1019834373 1117369332 1359779164 1388155572 2039668746 3059503119 3695528857 4079337492 6119006238 7391057714 11086586571 12238012476 14782115428 22173173142 33259759713 44346346284 66519519426 114561394567 133039038852 229122789134 343684183701 458245578268 687368367402 1031052551103 1374736734804 2062105102206 4124210204412