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242477919390 = 235722333115643
BaseRepresentation
bin1110000111010011001…
…1110110110010011110
3212011212200222120101010
43201310303312302132
512433043321410030
6303220503200050
723342554210410
oct3416463666236
9764780876333
10242477919390
119391a511803
123abb1446026
1319b3386c715
14ba437d29b0
1564927746b0
hex3874cf6c9e

242477919390 has 128 divisors (see below), whose sum is σ = 670125883392. Its totient is φ = 55004780160.

The previous prime is 242477919389. The next prime is 242477919401. The reversal of 242477919390 is 93919774242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242477919390.

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, 15492909 + ... + 15508551.

It is an arithmetic number, because the mean of its divisors is an integer number (5235358464).

Almost surely, 2242477919390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242477919390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335062941696).

242477919390 is an abundant number, since it is smaller than the sum of its proper divisors (427647964002).

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

242477919390 is a wasteful number, since it uses less digits than its factorization.

242477919390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16214.

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 242477919390 in words is "two hundred forty-two billion, four hundred seventy-seven million, nine hundred nineteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 223 331 446 662 669 993 1115 1338 1561 1655 1986 2230 2317 3122 3310 3345 4634 4683 4965 6690 6951 7805 9366 9930 11585 13902 15610 15643 23170 23415 31286 34755 46830 46929 69510 73813 78215 93858 109501 147626 156430 219002 221439 234645 328503 369065 442878 469290 516691 547505 657006 738130 1033382 1095010 1107195 1550073 1642515 2214390 2583455 3100146 3285030 3488389 5166910 5177833 6976778 7750365 10355666 10465167 15500730 15533499 17441945 20930334 24418723 25889165 31066998 34883890 36244831 48837446 51778330 52325835 72489662 73256169 77667495 104651670 108734493 122093615 146512338 155334990 181224155 217468986 244187230 362448310 366280845 543672465 732561690 1087344930 1154656759 2309313518 3463970277 5773283795 6927940554 8082597313 11546567590 16165194626 17319851385 24247791939 34639702770 40412986565 48495583878 80825973130 121238959695 242477919390