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14300413101040 = 2451124136032083
BaseRepresentation
bin1101000000011001001100…
…0010110000001111110000
31212122002212101011200121011
43100012103002300033300
53333244221223213130
650225304042240304
73004112365521223
oct320062302601760
955562771150534
1014300413101040
114613853425900
12172b6234b6094
137c96a5530331
143762023c55ba
1519bebe9ac52a
hexd01930b03f0

14300413101040 has 120 divisors (see below), whose sum is σ = 37437191147664. Its totient is φ = 5073317145600.

The previous prime is 14300413101019. The next prime is 14300413101049. The reversal of 14300413101040 is 4010131400341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14300413101049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17619162 + ... + 18412921.

Almost surely, 214300413101040 is an apocalyptic number.

14300413101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14300413101040 is an abundant number, since it is smaller than the sum of its proper divisors (23136778046624).

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

14300413101040 is a wasteful number, since it uses less digits than its factorization.

14300413101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36032159 (or 36032142 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14300413101040 its reverse (4010131400341), we get a palindrome (18310544501381).

The spelling of 14300413101040 in words is "fourteen trillion, three hundred billion, four hundred thirteen million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 121 164 176 205 220 242 328 410 440 451 484 605 656 820 880 902 968 1210 1640 1804 1936 2255 2420 3280 3608 4510 4840 4961 7216 9020 9680 9922 18040 19844 24805 36080 39688 49610 79376 99220 198440 396880 36032083 72064166 144128332 180160415 288256664 360320830 396352913 576513328 720641660 792705826 1441283320 1477315403 1585411652 1981764565 2882566640 2954630806 3170823304 3963529130 4359882043 5909261612 6341646608 7386577015 7927058260 8719764086 11818523224 14773154030 15854116520 16250469433 17439528172 21799410215 23637046448 29546308060 31708233040 32500938866 34879056344 43598820430 59092616120 65001877732 69758112688 81252347165 87197640860 118185232240 130003755464 162504694330 174395281720 178755163763 260007510928 325009388660 348790563440 357510327526 650018777320 715020655052 893775818815 1300037554640 1430041310104 1787551637630 2860082620208 3575103275260 7150206550520 14300413101040