Search a number
-
+
1410312102240 = 253517916414247
BaseRepresentation
bin10100100001011101001…
…001101110000101100000
311222211021002000212101110
4110201131021232011200
5141101304344232430
62555515522503320
7203614564035036
oct24413511560540
94884232025343
101410312102240
114a4123462338
121a93b2804b40
13a2cb816b812
144c38bdb2556
1526a4361c7b0
hex1485d26e160

1410312102240 has 96 divisors (see below), whose sum is σ = 4467301735680. Its totient is φ = 373982180864.

The previous prime is 1410312102217. The next prime is 1410312102253. The reversal of 1410312102240 is 422012130141.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 8121204 + ... + 8293043.

It is an arithmetic number, because the mean of its divisors is an integer number (46534393080).

Almost surely, 21410312102240 is an apocalyptic number.

1410312102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1410312102240 is an abundant number, since it is smaller than the sum of its proper divisors (3056989633440).

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

1410312102240 is a wasteful number, since it uses less digits than its factorization.

1410312102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16414444 (or 16414436 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1410312102240 its reverse (422012130141), we get a palindrome (1832324232381).

The spelling of 1410312102240 in words is "one trillion, four hundred ten billion, three hundred twelve million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 179 240 358 480 537 716 895 1074 1432 1790 2148 2685 2864 3580 4296 5370 5728 7160 8592 10740 14320 17184 21480 28640 42960 85920 16414247 32828494 49242741 65656988 82071235 98485482 131313976 164142470 196970964 246213705 262627952 328284940 393941928 492427410 525255904 656569880 787883856 984854820 1313139760 1575767712 1969709640 2626279520 2938150213 3939419280 5876300426 7878838560 8814450639 11752600852 14690751065 17628901278 23505201704 29381502130 35257802556 44072253195 47010403408 58763004260 70515605112 88144506390 94020806816 117526008520 141031210224 176289012780 235052017040 282062420448 352578025560 470104034080 705156051120 1410312102240