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423518312742 = 237178327126371
BaseRepresentation
bin1100010100110111010…
…10001001100100100110
31111111011201102102222220
412022123222021210212
523414331142001432
6522321151133210
742412115155320
oct6123352114446
91444151372886
10423518312742
111536820568a8
126a0b7514206
1330c25bc4a25
14166d9852610
15b03b48c72c
hex629ba89926

423518312742 has 128 divisors (see below), whose sum is σ = 1041202003968. Its totient is φ = 112095705600.

The previous prime is 423518312719. The next prime is 423518312773. The reversal of 423518312742 is 247213815324.

It is a super-2 number, since 2×4235183127422 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 423518312694 and 423518312703.

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, 16046817 + ... + 16073187.

It is an arithmetic number, because the mean of its divisors is an integer number (8134390656).

Almost surely, 2423518312742 is an apocalyptic number.

423518312742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 423518312742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520601001984).

423518312742 is an abundant number, since it is smaller than the sum of its proper divisors (617683691226).

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

423518312742 is a wasteful number, since it uses less digits than its factorization.

423518312742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26754.

The product of its digits is 322560, while the sum is 42.

The spelling of 423518312742 in words is "four hundred twenty-three billion, five hundred eighteen million, three hundred twelve thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 83 102 119 166 238 249 271 357 498 542 581 714 813 1162 1411 1626 1743 1897 2822 3486 3794 4233 4607 5691 8466 9214 9877 11382 13821 19754 22493 26371 27642 29631 32249 44986 52742 59262 64498 67479 79113 96747 134958 157451 158226 184597 193494 314902 369194 382381 448307 472353 553791 764762 896614 944706 1107582 1147143 1344921 2188793 2294286 2676667 2689842 3138149 4377586 5353334 6276298 6566379 7146541 8030001 9414447 13132758 14293082 15321551 16060002 18828894 21439623 30643102 37209481 42879246 45964653 50025787 74418962 91929306 100051574 111628443 121491197 150077361 223256886 242982394 260466367 300154722 364473591 520932734 593162903 728947182 781399101 850438379 1186325806 1562798202 1700876758 1779488709 2551315137 3558977418 4152140321 5102630274 8304280642 10083769351 12456420963 20167538702 24912841926 30251308053 60502616106 70586385457 141172770914 211759156371 423518312742