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147571135040 = 2657193341347
BaseRepresentation
bin1000100101101111101…
…1001101001001000000
3112002220111010101112002
42021123323031021000
54404211202310130
6151443201323132
713442643644210
oct2113373151100
9462814111462
10147571135040
1157648070a3a
12247253364a8
1310bba2c8364
1471dcd7a240
153c8a755b45
hex225becd240

147571135040 has 112 divisors (see below), whose sum is σ = 403686337152. Its totient is φ = 50333515776.

The previous prime is 147571135039. The next prime is 147571135079. The reversal of 147571135040 is 40531175741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 147571134985 and 147571135003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261647 + ... + 602993.

It is an arithmetic number, because the mean of its divisors is an integer number (3604342296).

Almost surely, 2147571135040 is an apocalyptic number.

147571135040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147571135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201843168576).

147571135040 is an abundant number, since it is smaller than the sum of its proper divisors (256115202112).

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

147571135040 is a wasteful number, since it uses less digits than its factorization.

147571135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341564 (or 341554 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 147571135040 in words is "one hundred forty-seven billion, five hundred seventy-one million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 193 224 280 320 386 448 560 772 965 1120 1351 1544 1930 2240 2702 3088 3860 5404 6176 6755 7720 10808 12352 13510 15440 21616 27020 30880 43232 54040 61760 86464 108080 216160 341347 432320 682694 1365388 1706735 2389429 2730776 3413470 4778858 5461552 6826940 9557716 10923104 11947145 13653880 19115432 21846208 23894290 27307760 38230864 47788580 54615520 65879971 76461728 95577160 109231040 131759942 152923456 191154320 263519884 329399855 382308640 461159797 527039768 658799710 764617280 922319594 1054079536 1317599420 1844639188 2108159072 2305798985 2635198840 3689278376 4216318144 4611597970 5270397680 7378556752 9223195940 10540795360 14757113504 18446391880 21081590720 29514227008 36892783760 73785567520 147571135040