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42742722440 = 235113802831
BaseRepresentation
bin100111110011101010…
…100010111110001000
311002022210222021101002
4213303222202332020
51200014114104230
631345152514132
73042130101065
oct476352427610
9132283867332
1042742722440
1117144175000
12834a54b948
134052376a52
1420d6961c6c
1511a26aa545
hex9f3aa2f88

42742722440 has 64 divisors (see below), whose sum is σ = 105781144320. Its totient is φ = 15542788800.

The previous prime is 42742722403. The next prime is 42742722467. The reversal of 42742722440 is 4422724724.

It is a junction number, because it is equal to n+sod(n) for n = 42742722394 and 42742722403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 348176 + ... + 454655.

It is an arithmetic number, because the mean of its divisors is an integer number (1652830380).

Almost surely, 242742722440 is an apocalyptic number.

42742722440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42742722440 is an abundant number, since it is smaller than the sum of its proper divisors (63038421880).

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

42742722440 is a wasteful number, since it uses less digits than its factorization.

42742722440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802875 (or 802849 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 38.

The spelling of 42742722440 in words is "forty-two billion, seven hundred forty-two million, seven hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1331 2420 2662 4840 5324 6655 10648 13310 26620 53240 802831 1605662 3211324 4014155 6422648 8028310 8831141 16056620 17662282 32113240 35324564 44155705 70649128 88311410 97142551 176622820 194285102 353245640 388570204 485712755 777140408 971425510 1068568061 1942851020 2137136122 3885702040 4274272244 5342840305 8548544488 10685680610 21371361220 42742722440