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141213321040 = 24511293715569
BaseRepresentation
bin1000001110000011111…
…0000100011101010000
3111111111101202222022111
42003200332010131100
54303201102233130
6144512243315104
713126253265301
oct2034076043520
9444441688274
10141213321040
1154985269200
122345007ba94
131041606b83c
146b988287a8
153a174de02a
hex20e0f84750

141213321040 has 120 divisors (see below), whose sum is σ = 361290079080. Its totient is φ = 51292200960.

The previous prime is 141213321019. The next prime is 141213321061. The reversal of 141213321040 is 40123312141.

It is an interprime number because it is at equal distance from previous prime (141213321019) and next prime (141213321061).

It can be written as a sum of positive squares in 4 ways, for example, as 50808384 + 141162512656 = 7128^2 + 375716^2 .

It is a super-2 number, since 2×1412133210402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 9062376 + ... + 9077944.

It is an arithmetic number, because the mean of its divisors is an integer number (3010750659).

Almost surely, 2141213321040 is an apocalyptic number.

141213321040 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 141213321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180645039540).

141213321040 is an abundant number, since it is smaller than the sum of its proper divisors (220076758040).

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

141213321040 is a wasteful number, since it uses less digits than its factorization.

141213321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16541 (or 16524 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 141213321040 its reverse (40123312141), we get a palindrome (181336633181).

The spelling of 141213321040 in words is "one hundred forty-one billion, two hundred thirteen million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 937 968 1210 1874 1936 2420 3748 4685 4840 7496 9370 9680 10307 14992 15569 18740 20614 31138 37480 41228 51535 62276 74960 77845 82456 103070 113377 124552 155690 164912 171259 206140 226754 249104 311380 342518 412280 453508 566885 622760 685036 824560 856295 907016 1133770 1245520 1370072 1712590 1814032 1883849 2267540 2740144 3425180 3767698 4535080 6850360 7535396 9070160 9419245 13700720 14588153 15070792 18838490 29176306 30141584 37676980 58352612 72940765 75353960 116705224 145881530 150707920 160469683 233410448 291763060 320939366 583526120 641878732 802348415 1167052240 1283757464 1604696830 1765166513 2567514928 3209393660 3530333026 6418787320 7060666052 8825832565 12837574640 14121332104 17651665130 28242664208 35303330260 70606660520 141213321040