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243724415640 = 233553122931181
BaseRepresentation
bin1110001011111100011…
…0110111001010011000
3212022002120111010202220
43202333012313022120
512443121422300030
6303544312024040
723415501231306
oct3427706671230
9768076433686
10243724415640
11943aa0958a2
123b29a992020
1319ca1b93574
14bb21187276
156516de6a10
hex38bf1b7298

243724415640 has 128 divisors (see below), whose sum is σ = 745599038400. Its totient is φ = 63712962560.

The previous prime is 243724415563. The next prime is 243724415647. The reversal of 243724415640 is 46514427342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 243724415592 and 243724415601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243724415647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7800850 + ... + 7832030.

Almost surely, 2243724415640 is an apocalyptic number.

243724415640 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 243724415640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372799519200).

243724415640 is an abundant number, since it is smaller than the sum of its proper divisors (501874622760).

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

243724415640 is a wasteful number, since it uses less digits than its factorization.

243724415640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32477 (or 32473 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 243724415640 in words is "two hundred forty-three billion, seven hundred twenty-four million, four hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1229 1272 1590 2120 2458 3180 3687 4916 6145 6360 7374 9832 12290 14748 18435 24580 29496 31181 36870 49160 62362 65137 73740 93543 124724 130274 147480 155905 187086 195411 249448 260548 311810 325685 374172 390822 467715 521096 623620 651370 748344 781644 935430 977055 1247240 1302740 1563288 1652593 1870860 1954110 2605480 3305186 3741720 3908220 4957779 6610372 7816440 8262965 9915558 13220744 16525930 19831116 24788895 33051860 38321449 39662232 49577790 66103720 76642898 99155580 114964347 153285796 191607245 198311160 229928694 306571592 383214490 459857388 574821735 766428980 919714776 1149643470 1532857960 2031036797 2299286940 4062073594 4598573880 6093110391 8124147188 10155183985 12186220782 16248294376 20310367970 24372441564 30465551955 40620735940 48744883128 60931103910 81241471880 121862207820 243724415640