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120050034440 = 23572929350459
BaseRepresentation
bin110111111001110001…
…0100010011100001000
3102110212111022121211212
41233303202202130020
53431330302100230
6131052240512252
711446644312260
oct1576342423410
9373774277755
10120050034440
1146a051297a6
121b32461b688
13b42268534b
145b4bc4c7a0
1531c958a895
hex1bf38a2708

120050034440 has 128 divisors (see below), whose sum is σ = 320441184000. Its totient is φ = 39604282368.

The previous prime is 120050034439. The next prime is 120050034463. The reversal of 120050034440 is 44430050021.

It is a super-2 number, since 2×1200500344402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2353931 + ... + 2404389.

It is an arithmetic number, because the mean of its divisors is an integer number (2503446750).

Almost surely, 2120050034440 is an apocalyptic number.

120050034440 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 120050034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160220592000).

120050034440 is an abundant number, since it is smaller than the sum of its proper divisors (200391149560).

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

120050034440 is a wasteful number, since it uses less digits than its factorization.

120050034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50799 (or 50795 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 120050034440 its reverse (44430050021), we get a palindrome (164480084461).

The spelling of 120050034440 in words is "one hundred twenty billion, fifty million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 293 406 580 586 812 1015 1160 1172 1465 1624 2030 2051 2344 2930 4060 4102 5860 8120 8204 8497 10255 11720 16408 16994 20510 33988 41020 42485 50459 59479 67976 82040 84970 100918 118958 169940 201836 237916 252295 297395 339880 353213 403672 475832 504590 594790 706426 1009180 1189580 1412852 1463311 1766065 2018360 2379160 2825704 2926622 3532130 5853244 7064260 7316555 10243177 11706488 14128520 14633110 14784487 20486354 29266220 29568974 40972708 51215885 58532440 59137948 73922435 81945416 102431770 103491409 118275896 147844870 204863540 206982818 295689740 409727080 413965636 428750123 517457045 591379480 827931272 857500246 1034914090 1715000492 2069828180 2143750615 3001250861 3430000984 4139656360 4287501230 6002501722 8575002460 12005003444 15006254305 17150004920 24010006888 30012508610 60025017220 120050034440