Search a number
-
+
1400101412424 = 23311132811451797
BaseRepresentation
bin10100010111111100100…
…011000001111001001000
311221211220110211002011120
4110113330203001321020
5140414401430144144
62551110412155240
7203103550434051
oct24277443017110
94854813732146
101400101412424
1149a863823a10
121a7423168b20
13a204b923520
144ba9dc87728
1526646ee2e19
hex145fc8c1e48

1400101412424 has 128 divisors (see below), whose sum is σ = 4126822922880. Its totient is φ = 390242764800.

The previous prime is 1400101412407. The next prime is 1400101412447. The reversal of 1400101412424 is 4242141010041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1400101412394 and 1400101412403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238494 + ... + 1690290.

It is an arithmetic number, because the mean of its divisors is an integer number (32240804085).

Almost surely, 21400101412424 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 1400101412424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063411461440).

1400101412424 is an abundant number, since it is smaller than the sum of its proper divisors (2726721510456).

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

1400101412424 is a wasteful number, since it uses less digits than its factorization.

1400101412424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452111 (or 1452107 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1400101412424 its reverse (4242141010041), we get a palindrome (5642242422465).

The spelling of 1400101412424 in words is "one trillion, four hundred billion, one hundred one million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 281 286 312 429 562 572 843 858 1124 1144 1686 1716 2248 3091 3372 3432 3653 6182 6744 7306 9273 10959 12364 14612 18546 21918 24728 29224 37092 40183 43836 74184 80366 87672 120549 160732 241098 321464 482196 964392 1451797 2903594 4355391 5807188 8710782 11614376 15969767 17421564 18873361 31939534 34843128 37746722 47909301 56620083 63879068 75493444 95818602 113240166 127758136 150986888 191637204 207606971 226480332 383274408 407954957 415213942 452960664 622820913 815909914 830427884 1223864871 1245641826 1631819828 1660855768 2447729742 2491283652 3263639656 4487504527 4895459484 4982567304 5303414441 8975009054 9790918968 10606828882 13462513581 15910243323 17950018108 21213657764 26925027162 31820486646 35900036216 42427315528 53850054324 58337558851 63640973292 107700108648 116675117702 127281946584 175012676553 233350235404 350025353106 466700470808 700050706212 1400101412424