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136035112606440 = 233519493112099883
BaseRepresentation
bin11110111011100100100100…
…100100000101101011101000
3122211122211101220010001121020
4132323210210210011223220
5120312244402311401230
61201153400142012440
740440132622354635
oct3673444444055350
9584584356101536
10136035112606440
113a388192702593
1213310623b77120
135aba096274488
1425841c540b18c
1510ad8bae06810
hex7bb924905ae8

136035112606440 has 128 divisors (see below), whose sum is σ = 429671720793600. Its totient is φ = 34359792917760.

The previous prime is 136035112606433. The next prime is 136035112606441. The reversal of 136035112606440 is 44606211530631.

It is a happy number.

It is a super-2 number, since 2×1360351126064402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136035112606392 and 136035112606401.

It is not an unprimeable number, because it can be changed into a prime (136035112606441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5192739 + ... + 17292621.

It is an arithmetic number, because the mean of its divisors is an integer number (3356810318700).

Almost surely, 2136035112606440 is an apocalyptic number.

136035112606440 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 136035112606440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214835860396800).

136035112606440 is an abundant number, since it is smaller than the sum of its proper divisors (293636608187160).

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

136035112606440 is a wasteful number, since it uses less digits than its factorization.

136035112606440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104847 (or 12104843 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 136035112606440 in words is "one hundred thirty-six trillion, thirty-five billion, one hundred twelve million, six hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 4931 9862 14793 19724 24655 29586 39448 49310 59172 73965 93689 98620 118344 147930 187378 197240 281067 295860 374756 468445 562134 591720 749512 936890 1124268 1405335 1873780 2248536 2810670 3747560 5621340 11242680 12099883 24199766 36299649 48399532 60499415 72599298 96799064 120998830 145198596 181498245 229897777 241997660 290397192 362996490 459795554 483995320 689693331 725992980 919591108 1149488885 1379386662 1451985960 1839182216 2298977770 2758773324 3448466655 4597955540 5517546648 6896933310 9195911080 13793866620 27587733240 59664523073 119329046146 178993569219 238658092292 298322615365 357987138438 477316184584 596645230730 715974276876 894967846095 1133625938387 1193290461460 1431948553752 1789935692190 2267251876774 2386580922920 3400877815161 3579871384380 4534503753548 5668129691935 6801755630322 7159742768760 9069007507096 11336259383870 13603511260644 17004389075805 22672518767740 27207022521288 34008778151610 45345037535480 68017556303220 136035112606440