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3432413124140 = 22571113171449207
BaseRepresentation
bin110001111100101011110…
…000111101011000101100
3110011010122202211221211012
4301330223300331120230
5422214040224433030
611144455005244352
7502661253111230
oct61745360753054
913133582757735
103432413124140
1111037507a8a80
124752842636b8
131bb8a1465830
14bc1b5bbc5c0
155e441a31095
hex31f2bc3d62c

3432413124140 has 96 divisors (see below), whose sum is σ = 9677964893184. Its totient is φ = 987547426560.

The previous prime is 3432413124113. The next prime is 3432413124157. The reversal of 3432413124140 is 414213142343.

It is a junction number, because it is equal to n+sod(n) for n = 3432413124097 and 3432413124106.

It is an unprimeable number.

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, 85704584 + ... + 85744623.

It is an arithmetic number, because the mean of its divisors is an integer number (100812134304).

Almost surely, 23432413124140 is an apocalyptic number.

It is an amenable number.

3432413124140 is an abundant number, since it is smaller than the sum of its proper divisors (6245551769044).

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

3432413124140 is a wasteful number, since it uses less digits than its factorization.

3432413124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171449247 (or 171449245 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 3432413124140 its reverse (414213142343), we get a palindrome (3846626266483).

It can be divided in two parts, 3432413 and 124140, that added together give a palindrome (3556553).

The spelling of 3432413124140 in words is "three trillion, four hundred thirty-two billion, four hundred thirteen million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 171449207 342898414 685796828 857246035 1200144449 1714492070 1885941277 2228839691 2400288898 3428984140 3771882554 4457679382 4800577796 6000722245 7543765108 8915358764 9429706385 11144198455 12001444490 13201588939 15601877837 18859412770 22288396910 24002888980 24517236601 26403177878 31203755674 37718825540 44576793820 49034473202 52806355756 62407511348 66007944695 78009389185 98068946404 122586183005 132015889390 156018778370 171620656207 245172366010 264031778780 312037556740 343241312414 490344732020 686482624828 858103281035 1716206562070 3432413124140