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1244142501240 = 2335292391495867
BaseRepresentation
bin10010000110101100101…
…010111111110101111000
311101221100102121111212210
4102012230222333311320
5130341000440014430
62351315015335120
7155613003525642
oct22065452776570
94357312544783
101244142501240
1143a702009681
121811589814a0
1390425963622
1444306d41892
152256a1e52b0
hex121acabfd78

1244142501240 has 128 divisors (see below), whose sum is σ = 3877289856000. Its totient is φ = 318990432768.

The previous prime is 1244142501197. The next prime is 1244142501253. The reversal of 1244142501240 is 421052414421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1244142501198 and 1244142501207.

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, 83787 + ... + 1579653.

It is an arithmetic number, because the mean of its divisors is an integer number (30291327000).

Almost surely, 21244142501240 is an apocalyptic number.

1244142501240 is a gapful number since it is divisible by the number (10) 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 1244142501240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938644928000).

1244142501240 is an abundant number, since it is smaller than the sum of its proper divisors (2633147354760).

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

1244142501240 is a wasteful number, since it uses less digits than its factorization.

1244142501240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496149 (or 1496145 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 1244142501240 its reverse (421052414421), we get a palindrome (1665194915661).

The spelling of 1244142501240 in words is "one trillion, two hundred forty-four billion, one hundred forty-two million, five hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 239 290 348 435 478 580 696 717 870 956 1160 1195 1434 1740 1912 2390 2868 3480 3585 4780 5736 6931 7170 9560 13862 14340 20793 27724 28680 34655 41586 55448 69310 83172 103965 138620 166344 207930 277240 415860 831720 1495867 2991734 4487601 5983468 7479335 8975202 11966936 14958670 17950404 22438005 29917340 35900808 43380143 44876010 59834680 86760286 89752020 130140429 173520572 179504040 216900715 260280858 347041144 357512213 433801430 520561716 650702145 715024426 867602860 1041123432 1072536639 1301404290 1430048852 1735205720 1787561065 2145073278 2602808580 2860097704 3575122130 4290146556 5205617160 5362683195 7150244260 8580293112 10367854177 10725366390 14300488520 20735708354 21450732780 31103562531 41471416708 42901465560 51839270885 62207125062 82942833416 103678541770 124414250124 155517812655 207357083540 248828500248 311035625310 414714167080 622071250620 1244142501240