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1410043104 = 253217299931
BaseRepresentation
bin101010000001011…
…1000110011100000
310122021020121111200
41110002320303200
510341432334404
6351530041200
746641111561
oct12402706340
93567217450
101410043104
11663a29288
12334279200
13196186b42
14d53a8168
1583bca839
hex540b8ce0

1410043104 has 144 divisors (see below), whose sum is σ = 4392526320. Its totient is φ = 427069440.

The previous prime is 1410043069. The next prime is 1410043127. The reversal of 1410043104 is 4013400141.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137019 + ... + 146949.

It is an arithmetic number, because the mean of its divisors is an integer number (30503655).

Almost surely, 21410043104 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 1410043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196263160).

1410043104 is an abundant number, since it is smaller than the sum of its proper divisors (2982483216).

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

1410043104 is a wasteful number, since it uses less digits than its factorization.

1410043104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9993 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1410043104 is about 37550.5406618866. The cubic root of 1410043104 is about 1121.3575969347.

Adding to 1410043104 its reverse (4013400141), we get a palindrome (5423443245).

The spelling of 1410043104 in words is "one billion, four hundred ten million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 816 928 986 1044 1224 1392 1479 1632 1972 2088 2448 2784 2958 3944 4176 4437 4896 5916 7888 8352 8874 9931 11832 15776 17748 19862 23664 29793 35496 39724 47328 59586 70992 79448 89379 119172 141984 158896 168827 178758 238344 287999 317792 337654 357516 476688 506481 575998 675308 715032 863997 953376 1012962 1151996 1350616 1430064 1519443 1727994 2025924 2303992 2591991 2701232 2860128 3038886 3455988 4051848 4607984 4895983 5183982 5402464 6077772 6911976 8103696 9215968 9791966 10367964 12155544 13823952 14687949 16207392 19583932 20735928 24311088 27647904 29375898 39167864 41471856 44063847 48622176 58751796 78335728 82943712 88127694 117503592 156671456 176255388 235007184 352510776 470014368 705021552 1410043104