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242453332215324 = 223415131191588879
BaseRepresentation
bin110111001000001010010000…
…101111011100011000011100
31011210110022102120221112120000
4313020022100233130120130
5223234323411021342244
62215353305001254300
7102032450410211556
oct6710122057343034
91153408376845500
10242453332215324
117028697632130a
12232390b6494390
13a53933594a4a9
1443c2b37c464d6
151d06b7a840169
hexdc8290bdc61c

242453332215324 has 120 divisors (see below), whose sum is σ = 638223352166400. Its totient is φ = 80256769984800.

The previous prime is 242453332215323. The next prime is 242453332215383. The reversal of 242453332215324 is 423512233354242.

242453332215324 is a `hidden beast` number, since 2 + 4 + 2 + 45 + 333 + 221 + 53 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242453332215324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242453332215323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151799517 + ... + 153388395.

It is an arithmetic number, because the mean of its divisors is an integer number (5318527934720).

Almost surely, 2242453332215324 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 242453332215324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319111676083200).

242453332215324 is an abundant number, since it is smaller than the sum of its proper divisors (395770019951076).

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

242453332215324 is a wasteful number, since it uses less digits than its factorization.

242453332215324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592165 (or 1592154 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 45.

Adding to 242453332215324 its reverse (423512233354242), we get a palindrome (665965565569566).

The spelling of 242453332215324 in words is "two hundred forty-two trillion, four hundred fifty-three billion, three hundred thirty-two million, two hundred fifteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 302 324 453 604 906 1359 1812 2718 3119 4077 5436 6238 8154 9357 12231 12476 16308 18714 24462 28071 37428 48924 56142 84213 112284 168426 252639 336852 470969 505278 941938 1010556 1412907 1588879 1883876 2825814 3177758 4238721 4766637 5651628 6355516 8477442 9533274 12716163 14299911 16954884 19066548 25432326 28599822 38148489 42899733 50864652 57199644 76296978 85799466 128699199 152593956 171598932 239920729 257398398 479841458 514796796 719762187 959682916 1439524374 2159286561 2879048748 4318573122 4955713601 6477859683 8637146244 9911427202 12955719366 14867140803 19433579049 19822854404 25911438732 29734281606 38867158098 44601422409 59468563212 77734316196 89202844818 133804267227 178405689636 267608534454 401412801681 535217068908 748312753751 802825603362 1496625507502 1605651206724 2244938261253 2993251015004 4489876522506 6734814783759 8979753045012 13469629567518 20204444351277 26939259135036 40408888702554 60613333053831 80817777405108 121226666107662 242453332215324