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530241300040 = 235292572776421
BaseRepresentation
bin1111011011101001101…
…10000010011001001000
31212200122102112221001011
413231310312002121020
532141413233100130
61043331155133304
753210605454014
oct7556466023110
91780572487034
10530241300040
11194968432851
12869208a4234
133b0034ca65a
141b941721544
15dbd5a2352a
hex7b74d82648

530241300040 has 128 divisors (see below), whose sum is σ = 1243651125600. Its totient is φ = 203217960960.

The previous prime is 530241300037. The next prime is 530241300059. The reversal of 530241300040 is 40003142035.

It can be written as a sum of positive squares in 16 ways, for example, as 69327943204 + 460913356836 = 263302^2 + 678906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 530241299984 and 530241300020.

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 31 ways as a sum of consecutive naturals, for example, 82576030 + ... + 82582450.

Almost surely, 2530241300040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530241300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621825562800).

530241300040 is an abundant number, since it is smaller than the sum of its proper divisors (713409825560).

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

530241300040 is a wasteful number, since it uses less digits than its factorization.

530241300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 530241300040 its reverse (40003142035), we get a palindrome (570244442075).

The spelling of 530241300040 in words is "five hundred thirty billion, two hundred forty-one million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 257 277 290 514 554 580 1028 1108 1160 1285 1385 2056 2216 2570 2770 5140 5540 6421 7453 8033 10280 11080 12842 14906 16066 25684 29812 32105 32132 37265 40165 51368 59624 64210 64264 71189 74530 80330 128420 142378 149060 160660 186209 256840 284756 298120 321320 355945 372418 569512 711890 744836 931045 1423780 1489672 1650197 1778617 1862090 2064481 2847560 3300394 3557234 3724180 4128962 6600788 7114468 7448360 8250985 8257924 8893085 10322405 13201576 14228936 16501970 16515848 17786170 20644810 33003940 35572340 41289620 47855713 51579893 66007880 71144680 82579240 95711426 103159786 191422852 206319572 239278565 257899465 382845704 412639144 457104569 478557130 515798930 914209138 957114260 1031597860 1828418276 1914228520 2063195720 2285522845 3656836552 4571045690 9142091380 13256032501 18284182760 26512065002 53024130004 66280162505 106048260008 132560325010 265120650020 530241300040