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242347575270 = 235416110730187
BaseRepresentation
bin1110000110110100001…
…0101000011111100110
3212011112121201101212010
43201231002220133212
512432311434402040
6303155525335050
723336412254403
oct3415502503746
9764477641763
10242347575270
1193862985299
123ab75867486
1319b12863418
14ba303832aa
1564860c8e80
hex386d0a87e6

242347575270 has 128 divisors (see below), whose sum is σ = 611267876352. Its totient is φ = 61434547200.

The previous prime is 242347575251. The next prime is 242347575271. The reversal of 242347575270 is 72575743242.

242347575270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242347575271) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8013117 + ... + 8043303.

It is an arithmetic number, because the mean of its divisors is an integer number (4775530284).

Almost surely, 2242347575270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242347575270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305633938176).

242347575270 is an abundant number, since it is smaller than the sum of its proper divisors (368920301082).

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

242347575270 is a wasteful number, since it uses less digits than its factorization.

242347575270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30406.

The product of its (nonzero) digits is 3292800, while the sum is 48.

The spelling of 242347575270 in words is "two hundred forty-two billion, three hundred forty-seven million, five hundred seventy-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 61 82 107 122 123 183 205 214 246 305 321 366 410 535 610 615 642 915 1070 1230 1605 1830 2501 3210 4387 5002 6527 7503 8774 12505 13054 13161 15006 19581 21935 25010 26322 30187 32635 37515 39162 43870 60374 65270 65805 75030 90561 97905 131610 150935 181122 195810 267607 301870 452805 535214 802821 905610 1237667 1338035 1605642 1841407 2475334 2676070 3230009 3682814 3713001 4014105 5524221 6188335 6460018 7426002 8028210 9207035 9690027 11048442 12376670 16150045 18414070 18565005 19380054 27621105 32300090 37130010 48450135 55242210 75497687 96900270 132430369 150995374 197030549 226493061 264860738 377488435 394061098 397291107 452986122 591091647 662151845 754976870 794582214 985152745 1132465305 1182183294 1324303690 1970305490 1986455535 2264930610 2955458235 3972911070 5910916470 8078252509 16156505018 24234757527 40391262545 48469515054 80782525090 121173787635 242347575270