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241434031300 = 2252711148321143
BaseRepresentation
bin1110000011011010010…
…1101111010011000100
3212002011221201120010021
43200312211233103010
512423424103000200
6302525133104524
723304650256040
oct3406645572304
9762157646107
10241434031300
1193434242180
123a95b928144
13199c8507067
14b984cdd020
156430cc441a
hex383696f4c4

241434031300 has 144 divisors (see below), whose sum is σ = 653660163072. Its totient is φ = 75197865600.

The previous prime is 241434031291. The next prime is 241434031343. The reversal of 241434031300 is 3130434142.

241434031300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11408529 + ... + 11429671.

It is an arithmetic number, because the mean of its divisors is an integer number (4539306688).

Almost surely, 2241434031300 is an apocalyptic number.

241434031300 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 241434031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326830081536).

241434031300 is an abundant number, since it is smaller than the sum of its proper divisors (412226131772).

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

241434031300 is a wasteful number, since it uses less digits than its factorization.

241434031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22658 (or 22651 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 241434031300 its reverse (3130434142), we get a palindrome (244564465442).

The spelling of 241434031300 in words is "two hundred forty-one billion, four hundred thirty-four million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1483 1540 1925 2966 3850 5932 7415 7700 10381 14830 16313 20762 21143 29660 32626 37075 41524 42286 51905 65252 74150 81565 84572 103810 105715 114191 148001 148300 163130 207620 211430 228382 232573 259525 296002 326260 407825 422860 456764 465146 519050 528575 570955 592004 740005 815650 930292 1038100 1057150 1141910 1162865 1480010 1628011 1631300 2114300 2283820 2325730 2854775 2960020 3256022 3700025 4651460 5709550 5814325 6512044 7400050 8140055 11419100 11628650 14800100 16280110 23257300 31355069 32560220 40700275 62710138 81400550 125420276 156775345 162801100 219485483 313550690 344905759 438970966 627101380 689811518 783876725 877941932 1097427415 1379623036 1567753450 1724528795 2194854830 2414340313 3135506900 3449057590 4389709660 4828680626 5487137075 6898115180 8622643975 9657361252 10974274150 12071701565 17245287950 21948548300 24143403130 34490575900 48286806260 60358507825 120717015650 241434031300