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1414430553432 = 2331323199398899
BaseRepresentation
bin10100100101010010101…
…000010111010101011000
312000012220002121212022210
4110211102220113111120
5141133223210202212
63001440323315120
7204121623222261
oct24452250272530
95005802555283
101414430553432
114a594719a706
121aa161b1baa0
13a34c34941a0
144c65cd5b968
1526bd4e8e53c
hex14952a17558

1414430553432 has 128 divisors (see below), whose sum is σ = 3975685056000. Its totient is φ = 416074171392.

The previous prime is 1414430553391. The next prime is 1414430553493. The reversal of 1414430553432 is 2343550344141.

It is a super-2 number, since 2×14144305534322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14252319 + ... + 14351217.

It is an arithmetic number, because the mean of its divisors is an integer number (31060039500).

Almost surely, 21414430553432 is an apocalyptic number.

1414430553432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414430553432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987842528000).

1414430553432 is an abundant number, since it is smaller than the sum of its proper divisors (2561254502568).

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

1414430553432 is a wasteful number, since it uses less digits than its factorization.

1414430553432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100937 (or 100933 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 1414430553432 its reverse (2343550344141), we get a palindrome (3757980897573).

The spelling of 1414430553432 in words is "one trillion, four hundred fourteen billion, four hundred thirty million, five hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 1993 2392 3588 3986 5979 7176 7972 11958 15944 23916 25909 45839 47832 51818 77727 91678 98899 103636 137517 155454 183356 197798 207272 275034 296697 310908 366712 395596 550068 593394 595907 621816 791192 1100136 1186788 1191814 1285687 1787721 2274677 2373576 2383628 2571374 3575442 3857061 4549354 4767256 5142748 6824031 7150884 7714122 9098708 10285496 13648062 14301768 15428244 18197416 27296124 29570801 30856488 54592248 59141602 88712403 118283204 177424806 197105707 236566408 354849612 394211414 591317121 709699224 788422828 1182634242 1576845656 2365268484 2562374191 4533431261 4730536968 5124748382 7687122573 9066862522 10249496764 13600293783 15374245146 18133725044 20498993528 27200587566 30748490292 36267450088 54401175132 58934606393 61496980584 108802350264 117869212786 176803819179 235738425572 353607638358 471476851144 707215276716 1414430553432