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242661240654 = 23767281397773
BaseRepresentation
bin1110000111111110111…
…1001010111101001110
3212012100110221020212120
43201333233022331032
512433432234200104
6303251012313410
723350241340630
oct3417757127516
9765313836776
10242661240654
1193a03a42788
123b042912866
1319b62837241
14ba5dcb2a50
1564a38d6cd9
hex387fbcaf4e

242661240654 has 128 divisors (see below), whose sum is σ = 567091694592. Its totient is φ = 67794693120.

The previous prime is 242661240643. The next prime is 242661240677. The reversal of 242661240654 is 456042166242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313921012 + ... + 313921784.

It is an arithmetic number, because the mean of its divisors is an integer number (4430403864).

Almost surely, 2242661240654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242661240654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283545847296).

242661240654 is an abundant number, since it is smaller than the sum of its proper divisors (324430453938).

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

242661240654 is a wasteful number, since it uses less digits than its factorization.

242661240654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 242661240654 in words is "two hundred forty-two billion, six hundred sixty-one million, two hundred forty thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 281 397 402 469 562 773 794 843 938 1191 1407 1546 1686 1967 2319 2382 2779 2814 3934 4638 5411 5558 5901 8337 10822 11802 16233 16674 18827 26599 32466 37654 51791 53198 56481 79797 103582 111557 112962 131789 155373 159594 186193 217213 223114 263578 306881 310746 334671 362537 372386 395367 434426 558579 613762 651639 669342 725074 780899 790734 920643 1087611 1117158 1303278 1520491 1561798 1841286 2148167 2175222 2342697 3040982 4296334 4561473 4685394 6444501 7474319 9122946 12889002 14553271 14948638 20561027 22422957 29106542 41122054 43659813 44845914 52320233 61683081 86233561 87319626 101872897 104640466 123366162 143927189 156960699 172467122 203745794 258700683 287854378 305618691 313921398 431781567 517401366 603634927 611237382 863563134 1207269854 1810904781 3621809562 5777648587 11555297174 17332945761 34665891522 40443540109 80887080218 121330620327 242661240654