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423537941904 = 2437111013113123
BaseRepresentation
bin1100010100111001101…
…01000001110110010000
31111111020002100201010220
412022130311001312100
523414401203120104
6522323131553040
742412444051230
oct6123465016620
91444202321126
10423537941904
11153692143550
126a101bbb780
1330c29ca840c
14166dc2c1cc0
15b03d0687d9
hex629cd41d90

423537941904 has 160 divisors (see below), whose sum is σ = 1365480889344. Its totient is φ = 109900285440.

The previous prime is 423537941891. The next prime is 423537941923. The reversal of 423537941904 is 409149735324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3687487 + ... + 3800609.

Almost surely, 2423537941904 is an apocalyptic number.

423537941904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423537941904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682740444672).

423537941904 is an abundant number, since it is smaller than the sum of its proper divisors (941942947440).

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

423537941904 is a wasteful number, since it uses less digits than its factorization.

423537941904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114165 (or 114159 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 423537941904 in words is "four hundred twenty-three billion, five hundred thirty-seven million, nine hundred forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1013 1232 1848 2026 3039 3696 4052 6078 7091 8104 11143 12156 14182 16208 21273 22286 24312 28364 33429 42546 44572 48624 56728 66858 78001 85092 89144 113123 113456 133716 156002 170184 178288 226246 234003 267432 312004 339369 340368 452492 468006 534864 624008 678738 791861 904984 936012 1244353 1248016 1357476 1583722 1809968 1872024 2375583 2488706 2714952 3167444 3733059 3744048 4751166 4977412 5429904 6334888 7466118 8710471 9502332 9954824 12669776 14932236 17420942 19004664 19909648 26131413 29864472 34841884 38009328 52262826 59728944 69683768 104525652 114593599 139367536 209051304 229187198 343780797 418102608 458374396 687561594 802155193 916748792 1260529589 1375123188 1604310386 1833497584 2406465579 2521059178 2750246376 3208620772 3781588767 4812931158 5042118356 5500492752 6417241544 7563177534 8823707123 9625862316 10084236712 12834483088 15126355068 17647414246 19251724632 20168473424 26471121369 30252710136 35294828492 38503449264 52942242738 60505420272 70589656984 105884485476 141179313968 211768970952 423537941904