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31421121414000 = 2435339419132851
BaseRepresentation
bin1110010010011110011001…
…10001111100001101110000
311010020211101222100120000120
413021033030301330031300
513104300424040222000
6150454355223050240
76422046452164563
oct711171461741560
9133224358316016
1031421121414000
11a01469398929a
123635759ba0980
13146bccab5b616
147a8b0cb924da
1539750736a6a0
hex1c93ccc7c370

31421121414000 has 160 divisors (see below), whose sum is σ = 101305027848960. Its totient is φ = 8378690080000.

The previous prime is 31421121413987. The next prime is 31421121414073. The reversal of 31421121414000 is 41412112413.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236447575 + ... + 236580425.

It is an arithmetic number, because the mean of its divisors is an integer number (633156424056).

Almost surely, 231421121414000 is an apocalyptic number.

31421121414000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31421121414000 is an abundant number, since it is smaller than the sum of its proper divisors (69883906434960).

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

31421121414000 is a wasteful number, since it uses less digits than its factorization.

31421121414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172296 (or 172280 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 31421121414000 its reverse (41412112413), we get a palindrome (31462533526413).

The spelling of 31421121414000 in words is "thirty-one trillion, four hundred twenty-one billion, one hundred twenty-one million, four hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 39419 78838 118257 132851 157676 197095 236514 265702 315352 394190 398553 473028 531404 591285 630704 664255 788380 797106 946056 985475 1062808 1182570 1328510 1576760 1594212 1892112 1970950 1992765 2125616 2365140 2657020 2956425 3153520 3188424 3321275 3941900 3985530 4730280 4927375 5314040 5912850 6376848 6642550 7883800 7971060 9460560 9854750 9963825 10628080 11825700 13285100 14782125 15767600 15942120 16606375 19709500 19927650 23651400 26570200 29564250 31884240 33212750 39419000 39855300 47302800 49819125 53140400 59128500 66425500 78838000 79710600 99638250 118257000 132851000 159421200 199276500 236514000 265702000 398553000 797106000 5236853569 10473707138 15710560707 20947414276 26184267845 31421121414 41894828552 52368535690 62842242828 78552803535 83789657104 104737071380 125684485656 130921339225 157105607070 209474142760 251368971312 261842678450 314211214140 392764017675 418948285520 523685356900 628422428280 654606696125 785528035350 1047370713800 1256844856560 1309213392250 1571056070700 1963820088375 2094741427600 2618426784500 3142112141400 3927640176750 5236853569000 6284224282800 7855280353500 10473707138000 15710560707000 31421121414000