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243421022440 = 235192953208387
BaseRepresentation
bin1110001010110100000…
…1100000100011101000
3212021022102121011112201
43202231001200203220
512442011240204230
6303454233145544
723405125360111
oct3425501404350
9767272534481
10243421022440
1194263904012
123b21525b2b4
1319c5407816b
14bad2b6d208
1564ea4675ca
hex38ad0608e8

243421022440 has 128 divisors (see below), whose sum is σ = 607659408000. Its totient is φ = 87382084608.

The previous prime is 243421022393. The next prime is 243421022443. The reversal of 243421022440 is 44220124342.

It is a junction number, because it is equal to n+sod(n) for n = 243421022399 and 243421022408.

It is not an unprimeable number, because it can be changed into a prime (243421022443) 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, 1063927 + ... + 1272313.

It is an arithmetic number, because the mean of its divisors is an integer number (4747339125).

Almost surely, 2243421022440 is an apocalyptic number.

243421022440 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 243421022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303829704000).

243421022440 is an abundant number, since it is smaller than the sum of its proper divisors (364238385560).

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

243421022440 is a wasteful number, since it uses less digits than its factorization.

243421022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208499 (or 208495 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 243421022440 its reverse (44220124342), we get a palindrome (287641146782).

The spelling of 243421022440 in words is "two hundred forty-three billion, four hundred twenty-one million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 53 58 76 95 106 116 145 152 190 212 232 265 290 380 424 530 551 580 760 1007 1060 1102 1160 1537 2014 2120 2204 2755 3074 4028 4408 5035 5510 6148 7685 8056 10070 11020 12296 15370 20140 22040 29203 30740 40280 58406 61480 116812 146015 208387 233624 292030 416774 584060 833548 1041935 1168120 1667096 2083870 3959353 4167740 6043223 7918706 8335480 11044511 12086446 15837412 19796765 22089022 24172892 30216115 31674824 39593530 44178044 48345784 55222555 60432230 79187060 88356088 110445110 114821237 120864460 158374120 209845709 220890220 229642474 241728920 320290819 419691418 441780440 459284948 574106185 640581638 839382836 918569896 1049228545 1148212370 1281163276 1601454095 1678765672 2098457090 2296424740 2562326552 3202908190 4196914180 4592849480 6085525561 6405816380 8393828360 12171051122 12811632760 24342102244 30427627805 48684204488 60855255610 121710511220 243421022440