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42413261440 = 275116024611
BaseRepresentation
bin100111100000000001…
…110000001010000000
311001110212000220211211
4213200001300022000
51143330243331230
631252343215504
73031016526304
oct474001601200
9131425026754
1042413261440
1116a951a9090
128278147594
133ccc032404
1420a4cbdd04
1511837cc42a
hex9e0070280

42413261440 has 64 divisors (see below), whose sum is σ = 110611876320. Its totient is φ = 15423001600.

The previous prime is 42413261419. The next prime is 42413261441. The reversal of 42413261440 is 4416231424.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42413261441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3005266 + ... + 3019345.

Almost surely, 242413261440 is an apocalyptic number.

42413261440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42413261440 is an abundant number, since it is smaller than the sum of its proper divisors (68198614880).

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

42413261440 is a wasteful number, since it uses less digits than its factorization.

42413261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024641 (or 6024629 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 42413261440 its reverse (4416231424), we get a palindrome (46829492864).

The spelling of 42413261440 in words is "forty-two billion, four hundred thirteen million, two hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 6024611 12049222 24098444 30123055 48196888 60246110 66270721 96393776 120492220 132541442 192787552 240984440 265082884 331353605 385575104 481968880 530165768 662707210 771150208 963937760 1060331536 1325414420 1927875520 2120663072 2650828840 3855751040 4241326144 5301657680 8482652288 10603315360 21206630720 42413261440