Search a number
-
+
3402162653670 = 234511834600439
BaseRepresentation
bin110001100000100000101…
…100100100100111100110
3110001020120120020211120000
4301200200230210213212
5421220112114404140
611122533144522130
7500540522260614
oct61404054444746
913036516224500
103402162653670
1110a193813a860
1246b441480346
131b8a90224b71
14ba9463b46b4
155d770e2da30
hex31820b249e6

3402162653670 has 160 divisors (see below), whose sum is σ = 10099916386560. Its totient is φ = 814829578560.

The previous prime is 3402162653611. The next prime is 3402162653683. The reversal of 3402162653670 is 763562612043.

3402162653670 is a `hidden beast` number, since 3 + 4 + 0 + 21 + 6 + 26 + 536 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1560690 + ... + 3039749.

It is an arithmetic number, because the mean of its divisors is an integer number (63124477416).

Almost surely, 23402162653670 is an apocalyptic number.

3402162653670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3402162653670 is an abundant number, since it is smaller than the sum of its proper divisors (6697753732890).

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

3402162653670 is a wasteful number, since it uses less digits than its factorization.

3402162653670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600552 (or 4600543 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3402162653670 in words is "three trillion, four hundred two billion, one hundred sixty-two million, six hundred fifty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 83 90 99 110 135 162 165 166 198 249 270 297 330 405 415 495 498 594 747 810 830 891 913 990 1245 1485 1494 1782 1826 2241 2490 2739 2970 3735 4455 4482 4565 5478 6723 7470 8217 8910 9130 11205 13446 13695 16434 22410 24651 27390 33615 41085 49302 67230 73953 82170 123255 147906 246510 369765 739530 4600439 9200878 13801317 23002195 27602634 41403951 46004390 50604829 69006585 82807902 101209658 124211853 138013170 151814487 207019755 248423706 253024145 303628974 372635559 381836437 414039510 455443461 506048290 621059265 745271118 759072435 763672874 910886922 1145509311 1242118530 1366330383 1518144870 1863177795 1909182185 2277217305 2291018622 2732660766 3436527933 3726355590 3818364370 4098991149 4200200807 4554434610 5727546555 6831651915 6873055866 8197982298 8400401614 10309583799 11455093110 12600602421 13663303830 17182639665 20494955745 20619167598 21001004035 25201204842 30928751397 34365279330 37801807263 40989911490 42002008070 51547918995 61857502794 63003012105 75603614526 103095837990 113405421789 126006024210 154643756985 189009036315 226810843578 309287513970 340216265367 378018072630 567027108945 680432530734 1134054217890 1701081326835 3402162653670