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241320341120 = 2751134637207
BaseRepresentation
bin1110000010111111010…
…0000010111010000000
3212001220000210111111212
43200233310002322000
512423211001403440
6302505552225252
723302100024555
oct3405764027200
9761800714455
10241320341120
1193386050051
123a92983b228
13199aaaac171
14b973b86a2c
156425d18465
hex382fd02e80

241320341120 has 128 divisors (see below), whose sum is σ = 583349783040. Its totient is φ = 95454019584.

The previous prime is 241320341113. The next prime is 241320341173. The reversal of 241320341120 is 21143023142.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33480557 + ... + 33487763.

It is an arithmetic number, because the mean of its divisors is an integer number (4557420180).

Almost surely, 2241320341120 is an apocalyptic number.

241320341120 is a gapful number since it is divisible by the number (20) 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 241320341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291674891520).

241320341120 is an abundant number, since it is smaller than the sum of its proper divisors (342029441920).

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

241320341120 is a wasteful number, since it uses less digits than its factorization.

241320341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 241320341120 its reverse (21143023142), we get a palindrome (262463364262).

The spelling of 241320341120 in words is "two hundred forty-one billion, three hundred twenty million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 320 452 463 565 640 904 926 1130 1808 1852 2260 2315 3616 3704 4520 4630 7207 7232 7408 9040 9260 14414 14464 14816 18080 18520 28828 29632 36035 36160 37040 52319 57656 59264 72070 72320 74080 104638 115312 144140 148160 209276 230624 261595 288280 296320 418552 461248 523190 576560 814391 837104 922496 1046380 1153120 1628782 1674208 2092760 2306240 3257564 3336841 3348416 4071955 4185520 4612480 6515128 6673682 6696832 8143910 8371040 13030256 13347364 16287820 16684205 16742080 26060512 26694728 32575640 33368410 33484160 52121024 53389456 65151280 66736820 104242048 106778912 130302560 133473640 213557824 260605120 266947280 377063033 427115648 521210240 533894560 754126066 1067789120 1508252132 1885315165 2135578240 3016504264 3770630330 6033008528 7541260660 12066017056 15082521320 24132034112 30165042640 48264068224 60330085280 120660170560 241320341120