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4114202331512 = 237313389296489
BaseRepresentation
bin111011110111101001100…
…100011000100101111000
3112120022110211112020102002
4323313221210120211320
51014401341244102022
612430012150200132
7603145524545000
oct73675144304570
915508424466362
104114202331512
111346906a60629
1256543a053048
1323ac76b09620
141031b26a5000
1572046e93092
hex3bde9918978

4114202331512 has 128 divisors (see below), whose sum is σ = 9713012400000. Its totient is φ = 1623406998528.

The previous prime is 4114202331469. The next prime is 4114202331559. The reversal of 4114202331512 is 2151332024114.

It is a happy number.

It is a super-2 number, since 2×41142023315122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13728164 + ... + 14024652.

It is an arithmetic number, because the mean of its divisors is an integer number (75882909375).

Almost surely, 24114202331512 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 4114202331512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856506200000).

4114202331512 is an abundant number, since it is smaller than the sum of its proper divisors (5598810068488).

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

4114202331512 is a wasteful number, since it uses less digits than its factorization.

4114202331512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296918 (or 296900 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 4114202331512 its reverse (2151332024114), we get a palindrome (6265534355626).

The spelling of 4114202331512 in words is "four trillion, one hundred fourteen billion, two hundred two million, three hundred thirty-one thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 364 389 392 637 686 728 778 1274 1372 1556 2548 2723 2744 3112 4459 5057 5096 5446 8918 10114 10892 17836 19061 20228 21784 35399 35672 38122 40456 70798 76244 133427 141596 152488 247793 266854 283192 296489 495586 533708 592978 991172 1067416 1185956 1734551 1982344 2075423 2371912 3469102 3854357 4150846 6938204 7708714 8301692 13876408 14527961 15417428 16603384 26980499 29055922 30834856 53960998 58111844 101695727 107921996 115334221 116223688 188863493 203391454 215843992 230668442 377726986 406782908 461336884 755453972 807339547 813565816 922673768 1322044451 1499344873 1510907944 1614679094 2644088902 2998689746 3229358188 5288177804 5651376829 5997379492 6458716376 10495414111 10576355608 11302753658 11994758984 20990828222 22605507316 39559637803 41981656444 45211014632 73467898777 79119275606 83963312888 146935797554 158238551212 293871595108 316477102424 514275291439 587743190216 1028550582878 2057101165756 4114202331512