Search a number
-
+
135523415404521 = 34371031133885187
BaseRepresentation
bin11110110100001000000001…
…000010001010111111101001
3122202211220121211112220220000
4132310020001002022333221
5120230403423320421041
61200122333023053213
740355146400043624
oct3664100102127751
9582756554486800
10135523415404521
113a2001809a9171
1213249419741209
135a80a5992c461
1425675228aadbb
1510a041d415bb6
hex7b420108afe9

135523415404521 has 80 divisors (see below), whose sum is σ = 211796703490944. Its totient is φ = 86283205295616.

The previous prime is 135523415404499. The next prime is 135523415404541. The reversal of 135523415404521 is 125404514325531.

135523415404521 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 3 + 41 + 540 + 45 + 21 = 666.

It is not a de Polignac number, because 135523415404521 - 27 = 135523415404393 is a prime.

It is a super-2 number, since 2×1355234154045212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135523415404541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32939490 + ... + 36824676.

Almost surely, 2135523415404521 is an apocalyptic number.

It is an amenable number.

135523415404521 is a deficient number, since it is larger than the sum of its proper divisors (76273288086423).

135523415404521 is a wasteful number, since it uses less digits than its factorization.

135523415404521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885452 (or 3885443 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 135523415404521 in words is "one hundred thirty-five trillion, five hundred twenty-three billion, four hundred fifteen million, four hundred four thousand, five hundred twenty-one".

Divisors: 1 3 9 27 37 81 103 111 113 309 333 339 927 999 1017 2781 2997 3051 3811 4181 8343 9153 11433 11639 12543 34299 34917 37629 102897 104751 112887 308691 314253 338661 430643 942759 1291929 3875787 3885187 11627361 11655561 34882083 34966683 104900049 143751919 314700147 400174261 431255757 439026131 1200522783 1293767271 1317078393 3601568349 3881301813 3951235179 10804705047 11643905439 11853705537 14806447657 16243966847 32414115141 35561116611 44419342971 45219691493 48731900541 133258028913 135659074479 146195701623 399774086739 406977223437 438587104869 1199322260217 1220931670311 1315761314607 1673128585241 3662795010933 5019385755723 15058157267169 45174471801507 135523415404521