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135471247440 = 2435312587371
BaseRepresentation
bin111111000101010110…
…1110011000001010000
3110221200020001102010220
41332022231303001100
54204421114404230
6142122402553040
712534050414034
oct1761255630120
9427606042126
10135471247440
11524a8a95331
1222309068780
13ca0c55c259
1467b1d9a1c4
1537cd353d10
hex1f8ab73050

135471247440 has 120 divisors (see below), whose sum is σ = 433945734624. Its totient is φ = 34960262400.

The previous prime is 135471247411. The next prime is 135471247459. The reversal of 135471247440 is 44742174531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 135471247392 and 135471247401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63046 + ... + 524325.

Almost surely, 2135471247440 is an apocalyptic number.

135471247440 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 135471247440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216972867312).

135471247440 is an abundant number, since it is smaller than the sum of its proper divisors (298474487184).

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

135471247440 is a wasteful number, since it uses less digits than its factorization.

135471247440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587449 (or 587412 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 135471247440 in words is "one hundred thirty-five billion, four hundred seventy-one million, two hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 961 1240 1488 1860 1922 2480 2883 3720 3844 4805 5766 7440 7688 9610 11532 14415 15376 19220 23064 28830 38440 46128 57660 76880 115320 230640 587371 1174742 1762113 2349484 2936855 3524226 4698968 5873710 7048452 8810565 9397936 11747420 14096904 17621130 18208501 23494840 28193808 35242260 36417002 46989680 54625503 70484520 72834004 91042505 109251006 140969040 145668008 182085010 218502012 273127515 291336016 364170020 437004024 546255030 564463531 728340040 874008048 1092510060 1128927062 1456680080 1693390593 2185020120 2257854124 2822317655 3386781186 4370040240 4515708248 5644635310 6773562372 8466952965 9031416496 11289270620 13547124744 16933905930 22578541240 27094249488 33867811860 45157082480 67735623720 135471247440