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71234434080 = 25325175928123
BaseRepresentation
bin100001001010111100…
…1110011010000100000
320210212110011012002100
41002111321303100200
52131342003342310
652420305050400
75101153461555
oct1022571632040
9223773135070
1071234434080
1128234a87727
1211980326a00
136943107114
14363a94aa2c
151cbdb9dec0
hex1095e73420

71234434080 has 144 divisors (see below), whose sum is σ = 243234351360. Its totient is φ = 18984374784.

The previous prime is 71234434067. The next prime is 71234434087. The reversal of 71234434080 is 8043443217.

71234434080 is a `hidden beast` number, since 7 + 1 + 234 + 4 + 340 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71234434087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2518899 + ... + 2547021.

It is an arithmetic number, because the mean of its divisors is an integer number (1689127440).

Almost surely, 271234434080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71234434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121617175680).

71234434080 is an abundant number, since it is smaller than the sum of its proper divisors (171999917280).

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

71234434080 is a wasteful number, since it uses less digits than its factorization.

71234434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29903 (or 29892 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 71234434080 its reverse (8043443217), we get a palindrome (79277877297).

The spelling of 71234434080 in words is "seventy-one billion, two hundred thirty-four million, four hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1759 3518 5277 7036 8795 10554 14072 15831 17590 21108 26385 28123 28144 31662 35180 42216 52770 56246 56288 63324 70360 79155 84369 84432 105540 112492 126648 140615 140720 158310 168738 168864 211080 224984 253107 253296 281230 281440 316620 337476 421845 422160 449968 506214 506592 562460 633240 674952 843690 844320 899936 1012428 1124920 1265535 1266480 1349904 1687380 2024856 2249840 2531070 2532960 2699808 3374760 4049712 4499680 5062140 6749520 8099424 10124280 13499040 20248560 40497120 49468357 98936714 148405071 197873428 247341785 296810142 395746856 445215213 494683570 593620284 742025355 791493712 890430426 989367140 1187240568 1484050710 1582987424 1780860852 1978734280 2226076065 2374481136 2968101420 3561721704 3957468560 4452152130 4748962272 5936202840 7123443408 7914937120 8904304260 11872405680 14246886816 17808608520 23744811360 35617217040 71234434080