Search a number
-
+
331462733420 = 2257213181143743
BaseRepresentation
bin1001101001011001011…
…01111110111001101100
31011200120012121111011002
410310230231332321230
520412313424432140
6412134420415432
732642645514200
oct4645455767154
91150505544132
10331462733420
11118633087625
12542a6247578
1325345268630
141208594cb00
15894e920415
hex4d2cb7ee6c

331462733420 has 144 divisors (see below), whose sum is σ = 876825750528. Its totient is φ = 104322193920.

The previous prime is 331462733419. The next prime is 331462733477. The reversal of 331462733420 is 24337264133.

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 47 ways as a sum of consecutive naturals, for example, 2234069 + ... + 2377811.

It is an arithmetic number, because the mean of its divisors is an integer number (6089067712).

Almost surely, 2331462733420 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 331462733420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438412875264).

331462733420 is an abundant number, since it is smaller than the sum of its proper divisors (545363017108).

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

331462733420 is a wasteful number, since it uses less digits than its factorization.

331462733420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143960 (or 143951 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 38.

Adding to 331462733420 its reverse (24337264133), we get a palindrome (355799997553).

The spelling of 331462733420 in words is "three hundred thirty-one billion, four hundred sixty-two million, seven hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 181 182 196 245 260 362 364 455 490 637 724 905 910 980 1267 1274 1810 1820 2353 2534 2548 3185 3620 4706 5068 6335 6370 8869 9412 11765 12670 12740 16471 17738 23530 25340 32942 35476 44345 47060 65884 82355 88690 115297 143743 164710 177380 230594 287486 329420 461188 574972 576485 718715 1006201 1152970 1437430 1868659 2012402 2305940 2874860 3737318 4024804 5031005 7043407 7474636 9343295 10062010 13080613 14086814 18686590 20124020 26017483 26161226 28173628 35217035 37373180 52034966 52322452 65403065 70434070 91564291 104069932 130087415 130806130 140868140 182122381 183128582 260174830 261612260 338227279 364244762 366257164 457821455 520349660 676454558 728489524 910611905 915642910 1274856667 1352909116 1691136395 1821223810 1831285820 2367590953 2549713334 3382272790 3642447620 4735181906 5099426668 6374283335 6764545580 9470363812 11837954765 12748566670 16573136671 23675909530 25497133340 33146273342 47351819060 66292546684 82865683355 165731366710 331462733420