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126434511240 = 233519113490741
BaseRepresentation
bin111010111000000010…
…1011000100110001000
3110002100102211122112120
41311300011120212020
54032414213324430
6134025550211240
712064110420252
oct1656005304610
9402312748476
10126434511240
1149690a92704
12206067b3b20
13bbcc2b8b7b
146195b40cd2
15344ed1c610
hex1d70158988

126434511240 has 128 divisors (see below), whose sum is σ = 402801033600. Its totient is φ = 31658618880.

The previous prime is 126434511227. The next prime is 126434511241. The reversal of 126434511240 is 42115434621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (126434511241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12270 + ... + 503010.

It is an arithmetic number, because the mean of its divisors is an integer number (3146883075).

Almost surely, 2126434511240 is an apocalyptic number.

126434511240 is a gapful number since it is divisible by the number (10) 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 126434511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201400516800).

126434511240 is an abundant number, since it is smaller than the sum of its proper divisors (276366522360).

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

126434511240 is a wasteful number, since it uses less digits than its factorization.

126434511240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490887 (or 490883 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 126434511240 its reverse (42115434621), we get a palindrome (168549945861).

The spelling of 126434511240 in words is "one hundred twenty-six billion, four hundred thirty-four million, five hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 113 114 120 152 190 226 228 285 339 380 452 456 565 570 678 760 904 1130 1140 1356 1695 2147 2260 2280 2712 3390 4294 4520 6441 6780 8588 10735 12882 13560 17176 21470 25764 32205 42940 51528 64410 85880 128820 257640 490741 981482 1472223 1962964 2453705 2944446 3925928 4907410 5888892 7361115 9324079 9814820 11777784 14722230 18648158 19629640 27972237 29444460 37296316 46620395 55453733 55944474 58888920 74592632 93240790 110907466 111888948 139861185 166361199 186481580 221814932 223777896 277268665 279722370 332722398 372963160 443629864 554537330 559444740 665444796 831805995 1053620927 1109074660 1118889480 1330889592 1663611990 2107241854 2218149320 3160862781 3327223980 4214483708 5268104635 6321725562 6654447960 8428967416 10536209270 12643451124 15804313905 21072418540 25286902248 31608627810 42144837080 63217255620 126434511240