Search a number
-
+
3213615005040 = 24351110311818237
BaseRepresentation
bin101110110000111010011…
…000010111110101110000
3102101012220100120212201110
4232300322120113311300
5410122440420130130
610500151522233320
7451114242561246
oct56607230276560
912335810525643
103213615005040
111029982989760
1243a9a11b5840
131a407277137b
14b177b2b4796
15588d80edab0
hex2ec3a617d70

3213615005040 has 160 divisors (see below), whose sum is σ = 10973375801856. Its totient is φ = 771494446080.

The previous prime is 3213615005023. The next prime is 3213615005101. The reversal of 3213615005040 is 405005163123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3213615004989 and 3213615005007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5637199 + ... + 6181038.

Almost surely, 23213615005040 is an apocalyptic number.

3213615005040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3213615005040 is an abundant number, since it is smaller than the sum of its proper divisors (7759760796816).

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

3213615005040 is a wasteful number, since it uses less digits than its factorization.

3213615005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11818367 (or 11818361 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 3213615005040 in words is "three trillion, two hundred thirteen billion, six hundred fifteen million, five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 103 110 120 132 165 176 206 220 240 264 309 330 412 440 515 528 618 660 824 880 1030 1133 1236 1320 1545 1648 2060 2266 2472 2640 3090 3399 4120 4532 4944 5665 6180 6798 8240 9064 11330 12360 13596 16995 18128 22660 24720 27192 33990 45320 54384 67980 90640 135960 271920 11818237 23636474 35454711 47272948 59091185 70909422 94545896 118182370 130000607 141818844 177273555 189091792 236364740 260001214 283637688 354547110 390001821 472729480 520002428 567275376 650003035 709094220 780003642 945458960 1040004856 1217278411 1300006070 1418188440 1560007284 1950009105 2080009712 2434556822 2600012140 2836376880 3120014568 3651835233 3900018210 4869113644 5200024280 6086392055 6240029136 7303670466 7800036420 9738227288 10400048560 12172784110 13390062521 14607340932 15600072840 18259176165 19476454576 24345568220 26780125042 29214681864 31200145680 36518352330 40170187563 48691136440 53560250084 58429363728 66950312605 73036704660 80340375126 97382272880 107120500168 133900625210 146073409320 160680750252 200850937815 214241000336 267801250420 292146818640 321361500504 401701875630 535602500840 642723001008 803403751260 1071205001680 1606807502520 3213615005040