Search a number
-
+
3365145061452 = 22338924498761
BaseRepresentation
bin110000111110000010010…
…001101010100001001100
3102220201000202010022102000
4300332002101222201030
5420113304113431302
611053532025232300
7465060301032336
oct60760221524114
912821022108360
103365145061452
111088171726939
12464230332690
131b5441007645
14b8c33d50456
155c8061b331c
hex30f8246a84c

3365145061452 has 144 divisors (see below), whose sum is σ = 8844240132000. Its totient is φ = 1106514984960.

The previous prime is 3365145061427. The next prime is 3365145061493. The reversal of 3365145061452 is 2541605415633.

It is a happy number.

3365145061452 is a `hidden beast` number, since 3 + 3 + 6 + 51 + 450 + 6 + 145 + 2 = 666.

It is a super-2 number, since 2×33651450614522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3365145061398 and 3365145061407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384100752 + ... + 384109512.

It is an arithmetic number, because the mean of its divisors is an integer number (61418334250).

Almost surely, 23365145061452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3365145061452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422120066000).

3365145061452 is an abundant number, since it is smaller than the sum of its proper divisors (5479095070548).

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

3365145061452 is a wasteful number, since it uses less digits than its factorization.

3365145061452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401 (or 9304 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 3365145061452 in words is "three trillion, three hundred sixty-five billion, one hundred forty-five million, sixty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 449 534 801 898 1068 1347 1602 1796 2403 2694 3204 4041 4806 5388 7921 8082 8761 9612 12123 15842 16164 17522 23763 24246 26283 31684 35044 39961 47526 48492 52566 71289 78849 79922 95052 105132 119883 142578 157698 159844 213867 236547 239766 285156 315396 359649 427734 473094 479532 719298 779729 855468 946188 1078947 1438596 1559458 2157894 2339187 3118916 3556529 3933689 4315788 4678374 7017561 7113058 7867378 9356748 10669587 11801067 14035122 14226116 15734756 21052683 21339174 23602134 28070244 32008761 35403201 42105366 42678348 47204268 64017522 69395881 70806402 84210732 96026283 106209603 128035044 138791762 141612804 192052566 208187643 212419206 277583524 350098321 384105132 416375286 424838412 624562929 700196642 832750572 1050294963 1249125858 1400393284 1873688787 2100589926 2498251716 3150884889 3747377574 4201179852 6301769778 7494755148 9452654667 12603539556 18905309334 31158750569 37810618668 62317501138 93476251707 124635002276 186952503414 280428755121 373905006828 560857510242 841286265363 1121715020484 1682572530726 3365145061452