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136426375040 = 2752971103529
BaseRepresentation
bin111111100001110100…
…1010100011110000000
3111001010210021220220012
41333003221110132000
54213400123000130
6142401242404052
712566526024434
oct1770351243600
9431123256805
10136426375040
115294914a88a
1222534b00628
13cb323b7c07
146862b869c4
15383711e995
hex1fc3a54780

136426375040 has 128 divisors (see below), whose sum is σ = 342145944000. Its totient is φ = 51946209280.

The previous prime is 136426375027. The next prime is 136426375061. The reversal of 136426375040 is 40573624631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1364263750402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265996 + ... + 1369524.

Almost surely, 2136426375040 is an apocalyptic number.

136426375040 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 136426375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072972000).

136426375040 is an abundant number, since it is smaller than the sum of its proper divisors (205719568960).

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

136426375040 is a wasteful number, since it uses less digits than its factorization.

136426375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103648 (or 103636 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

Adding to 136426375040 its reverse (40573624631), we get a palindrome (176999999671).

The spelling of 136426375040 in words is "one hundred thirty-six billion, four hundred twenty-six million, three hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 71 80 116 128 142 145 160 232 284 290 320 355 464 568 580 640 710 928 1136 1160 1420 1856 2059 2272 2320 2840 3712 4118 4544 4640 5680 8236 9088 9280 10295 11360 16472 18560 20590 22720 32944 41180 45440 65888 82360 103529 131776 164720 207058 263552 329440 414116 517645 658880 828232 1035290 1317760 1656464 2070580 3002341 3312928 4141160 6004682 6625856 7350559 8282320 12009364 13251712 14701118 15011705 16564640 24018728 29402236 30023410 33129280 36752795 48037456 58804472 60046820 66258560 73505590 96074912 117608944 120093640 147011180 192149824 213166211 235217888 240187280 294022360 384299648 426332422 470435776 480374560 588044720 852664844 940871552 960749120 1065831055 1176089440 1705329688 1921498240 2131662110 2352178880 3410659376 4263324220 4704357760 6821318752 8526648440 13642637504 17053296880 27285275008 34106593760 68213187520 136426375040