Search a number
-
+
353417978966640 = 243571381152330083
BaseRepresentation
bin101000001011011101000100…
…1000101111111001001110000
31201100100102120121112122010020
41100112322021011333021300
5332310400010103413030
63251353551141003440
7134304414661106550
oct12026721105771160
91640312517478106
10353417978966640
11a26787a55a23a5
123377a9320b3580
1312228231a40a03
14633b742c0d160
152acd32cc0c510
hex1416e8917f270

353417978966640 has 160 divisors (see below), whose sum is σ = 1253016088075776. Its totient is φ = 80722757053440.

The previous prime is 353417978966639. The next prime is 353417978966671. The reversal of 353417978966640 is 46669879714353.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73844962 + ... + 78485121.

Almost surely, 2353417978966640 is an apocalyptic number.

353417978966640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353417978966640 is an abundant number, since it is smaller than the sum of its proper divisors (899598109109136).

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

353417978966640 is a wasteful number, since it uses less digits than its factorization.

353417978966640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152331487 (or 152331481 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 78.

The spelling of 353417978966640 in words is "three hundred fifty-three trillion, four hundred seventeen billion, nine hundred seventy-eight million, nine hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1381 1680 2762 4143 5524 6905 8286 9667 11048 13810 16572 19334 20715 22096 27620 29001 33144 38668 41430 48335 55240 58002 66288 77336 82860 96670 110480 116004 145005 154672 165720 193340 232008 290010 331440 386680 464016 580020 773360 1160040 2320080 152330083 304660166 456990249 609320332 761650415 913980498 1066310581 1218640664 1523300830 1827960996 2132621162 2284951245 2437281328 3046601660 3198931743 3655921992 4265242324 4569902490 5331552905 6093203320 6397863486 7311843984 8530484648 9139804980 10663105810 12186406640 12795726972 15994658715 17060969296 18279609960 21326211620 25591453944 31989317430 36559219920 42652423240 51182907888 63978634860 85304846480 127957269720 210367844623 255914539440 420735689246 631103533869 841471378492 1051839223115 1262207067738 1472574912361 1682942756984 2103678446230 2524414135476 2945149824722 3155517669345 3365885513968 4207356892460 4417724737083 5048828270952 5890299649444 6311035338690 7362874561805 8414713784920 8835449474166 10097656541904 11780599298888 12622070677380 14725749123610 16829427569840 17670898948332 22088623685415 23561198597776 25244141354760 29451498247220 35341797896664 44177247370830 50488282709520 58902996494440 70683595793328 88354494741660 117805992988880 176708989483320 353417978966640