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319433820930 = 232572431684511
BaseRepresentation
bin1001010010111111011…
…11010100101100000010
31010112111220002102022200
410221133233110230002
520213200024232210
6402425035214030
732035603451400
oct4513757245402
91115456072280
10319433820930
11113520078634
1251aa98a7316
132417911cb33
1411664166470
15849888d0c0
hex4a5fbd4b02

319433820930 has 144 divisors (see below), whose sum is σ = 988592926464. Its totient is φ = 71315415360.

The previous prime is 319433820919. The next prime is 319433820943. The reversal of 319433820930 is 39028334913.

319433820930 is a `hidden beast` number, since 3 + 1 + 9 + 433 + 8 + 209 + 3 + 0 = 666.

319433820930 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 652626 + ... + 1031885.

It is an arithmetic number, because the mean of its divisors is an integer number (6865228656).

Almost surely, 2319433820930 is an apocalyptic number.

319433820930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

319433820930 is an abundant number, since it is smaller than the sum of its proper divisors (669159105534).

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

319433820930 is a wasteful number, since it uses less digits than its factorization.

319433820930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684581 (or 1684571 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 319433820930 in words is "three hundred nineteen billion, four hundred thirty-three million, eight hundred twenty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 49 63 70 86 90 98 105 126 129 147 210 215 245 258 294 301 315 387 430 441 490 602 630 645 735 774 882 903 1290 1470 1505 1806 1935 2107 2205 2709 3010 3870 4214 4410 4515 5418 6321 9030 10535 12642 13545 18963 21070 27090 31605 37926 63210 94815 189630 1684511 3369022 5053533 8422555 10107066 11791577 15160599 16845110 23583154 25267665 30321198 35374731 50535330 58957885 70749462 72433973 75802995 82541039 106124193 117915770 144867946 151605990 165082078 176873655 212248386 217301919 247623117 353747310 362169865 412705195 434603838 495246234 507037811 530620965 651905757 724339730 742869351 825410390 1014075622 1061241930 1086509595 1238115585 1303811514 1485738702 1521113433 2173019190 2476231170 2535189055 3042226866 3259528785 3549264677 3714346755 4563340299 5070378110 6519057570 7098529354 7428693510 7605567165 9126680598 10647794031 15211134330 17746323385 21295588062 22816701495 31943382093 35492646770 45633402990 53238970155 63886764186 106477940310 159716910465 319433820930