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3421294264152 = 233511981146893
BaseRepresentation
bin110001110010010101000…
…001110111111101011000
3110010001221212202100100000
4301302111001313331120
5422023302312423102
611135415413413000
7502115601262632
oct61622501677530
913101855670300
103421294264152
1110a9a65467996
124730a063a160
131ba81ba2313b
14bb83d20ba52
155dee081401c
hex31c95077f58

3421294264152 has 96 divisors (see below), whose sum is σ = 9610058137680. Its totient is φ = 1140328471680.

The previous prime is 3421294264133. The next prime is 3421294264159. The reversal of 3421294264152 is 2514624921243.

3421294264152 is a `hidden beast` number, since 3 + 4 + 212 + 9 + 426 + 4 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3421294264098 and 3421294264107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421294264159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23217618 + ... + 23364510.

Almost surely, 23421294264152 is an apocalyptic number.

It is an amenable number.

3421294264152 is an abundant number, since it is smaller than the sum of its proper divisors (6188763873528).

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

3421294264152 is a wasteful number, since it uses less digits than its factorization.

3421294264152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158895 (or 158879 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 3421294264152 in words is "three trillion, four hundred twenty-one billion, two hundred ninety-four million, two hundred sixty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 11981 23962 35943 47924 71886 95848 107829 143772 146893 215658 287544 293786 323487 431316 440679 587572 646974 862632 881358 970461 1175144 1293948 1322037 1762716 1940922 2587896 2644074 2911383 3525432 3881844 3966111 5288148 5822766 7763688 7932222 10576296 11645532 11898333 15864444 23291064 23796666 31728888 35694999 47593332 71389998 95186664 142779996 285559992 1759925033 3519850066 5279775099 7039700132 10559550198 14079400264 15839325297 21119100396 31678650594 42238200792 47517975891 63357301188 95035951782 126714602376 142553927673 190071903564 285107855346 380143807128 427661783019 570215710692 855323566038 1140431421384 1710647132076 3421294264152