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241430010040 = 235293110365183
BaseRepresentation
bin1110000011011001011…
…0011001100010111000
3212002011200011020222201
43200312112121202320
512423422040310130
6302524510555544
723304601140202
oct3406626314270
9762150136881
10241430010040
1193431a45a1a
123a95a508bb4
13199c772990b
14b984573772
15643077cbca
hex38365998b8

241430010040 has 128 divisors (see below), whose sum is σ = 585717350400. Its totient is φ = 89356700160.

The previous prime is 241430010001. The next prime is 241430010109. The reversal of 241430010040 is 40010034142.

It is a congruent number.

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, 3671289 + ... + 3736471.

It is an arithmetic number, because the mean of its divisors is an integer number (4575916800).

Almost surely, 2241430010040 is an apocalyptic number.

241430010040 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 241430010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292858675200).

241430010040 is an abundant number, since it is smaller than the sum of its proper divisors (344287340360).

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

241430010040 is a wasteful number, since it uses less digits than its factorization.

241430010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65357 (or 65353 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 241430010040 its reverse (40010034142), we get a palindrome (281440044182).

The spelling of 241430010040 in words is "two hundred forty-one billion, four hundred thirty million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 103 116 124 145 155 206 232 248 290 310 412 515 580 620 824 899 1030 1160 1240 1798 2060 2987 3193 3596 4120 4495 5974 6386 7192 8990 11948 12772 14935 15965 17980 23896 25544 29870 31930 35960 59740 63860 65183 92597 119480 127720 130366 185194 260732 325915 370388 462985 521464 651830 740776 925970 1303660 1851940 1890307 2020673 2607320 3703880 3780614 4041346 6713849 7561228 8082692 9451535 10103365 13427698 15122456 16165384 18903070 20206730 26855396 33569245 37806140 40413460 53710792 58599517 67138490 75612280 80826920 117199034 134276980 194701621 208129319 234398068 268553960 292997585 389403242 416258638 468796136 585995170 778806484 832517276 973508105 1040646595 1171990340 1557612968 1665034552 1947016210 2081293190 2343980680 3894032420 4162586380 6035750251 7788064840 8325172760 12071500502 24143001004 30178751255 48286002008 60357502510 120715005020 241430010040