Search a number
-
+
112354177303040 = 295175874398071
BaseRepresentation
bin11001100010111101111110…
…110100111100001000000000
3112201210221202210110210221112
4121202331332310330020000
5104211302323342144130
61034542444013342452
732444215152443141
oct3142757664741000
9481727683423845
10112354177303040
1132888159024992
1210726baa797a28
134a8cc51993c9a
141da5d84d6bac8
15cec8cb33d495
hex662f7ed3c200

112354177303040 has 160 divisors (see below), whose sum is σ = 285718953066624. Its totient is φ = 42225975623680.

The previous prime is 112354177303013. The next prime is 112354177303099. The reversal of 112354177303040 is 40303771453211.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1123541773030402 (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 23347205 + ... + 27745275.

Almost surely, 2112354177303040 is an apocalyptic number.

112354177303040 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 112354177303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142859476533312).

112354177303040 is an abundant number, since it is smaller than the sum of its proper divisors (173364775763584).

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

112354177303040 is an equidigital number, since it uses as much as digits as its factorization.

112354177303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398698 (or 4398682 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 112354177303040 in words is "one hundred twelve trillion, three hundred fifty-four billion, one hundred seventy-seven million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 587 640 680 1088 1174 1280 1360 2176 2348 2560 2720 2935 4352 4696 5440 5870 8704 9392 9979 10880 11740 18784 19958 21760 23480 37568 39916 43520 46960 49895 75136 79832 93920 99790 150272 159664 187840 199580 300544 319328 375680 399160 638656 751360 798320 1277312 1502720 1596640 2554624 3193280 4398071 5109248 6386560 8796142 12773120 17592284 21990355 25546240 35184568 43980710 70369136 74767207 87961420 140738272 149534414 175922840 281476544 299068828 351845680 373836035 562953088 598137656 703691360 747672070 1125906176 1196275312 1407382720 1495344140 2251812352 2392550624 2581667677 2814765440 2990688280 4785101248 5163335354 5629530880 5981376560 9570202496 10326670708 11259061760 11962753120 12908338385 19140404992 20653341416 23925506240 25816676770 38280809984 41306682832 43888350509 47851012480 51633353540 82613365664 87776701018 95702024960 103266707080 165226731328 175553402036 191404049920 206533414160 219441752545 330453462656 351106804072 413066828320 438883505090 660906925312 702213608144 826133656640 877767010180 1321813850624 1404427216288 1652267313280 1755534020360 2808854432576 3304534626560 3511068040720 5617708865152 6609069253120 7022136081440 11235417730304 14044272162880 22470835460608 28088544325760 56177088651520 112354177303040