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141322012040 = 23511472145399
BaseRepresentation
bin1000001110011101110…
…0101100010110001000
3111111202222022001100002
42003213130230112020
54303411413341130
6144531125102132
713132043165546
oct2034734542610
9444688261302
10141322012040
1154a30656380
1223480557948
1310432736141
146ba903cd96
153a21d0db45
hex20e772c588

141322012040 has 96 divisors (see below), whose sum is σ = 354421224000. Its totient is φ = 50296076160.

The previous prime is 141322012037. The next prime is 141322012079. The reversal of 141322012040 is 40210223141.

141322012040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1413220120402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 899261 + ... + 1044659.

It is an arithmetic number, because the mean of its divisors is an integer number (3691887750).

Almost surely, 2141322012040 is an apocalyptic number.

141322012040 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 141322012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177210612000).

141322012040 is an abundant number, since it is smaller than the sum of its proper divisors (213099211960).

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

141322012040 is a wasteful number, since it uses less digits than its factorization.

141322012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145515 (or 145464 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 141322012040 its reverse (40210223141), we get a palindrome (181532235181).

The spelling of 141322012040 in words is "one hundred forty-one billion, three hundred twenty-two million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2209 2585 4136 4418 5170 8836 10340 11045 17672 20680 22090 24299 44180 48598 88360 97196 121495 145399 194392 242990 290798 485980 581596 726995 971960 1163192 1453990 1599389 2907980 3198778 5815960 6397556 6833753 7996945 12795112 13667506 15993890 27335012 31987780 34168765 54670024 63975560 68337530 75171283 136675060 150342566 273350120 300685132 321186391 375856415 601370264 642372782 751712830 1284745564 1503425660 1605931955 2569491128 3006851320 3211863910 3533050301 6423727820 7066100602 12847455640 14132201204 17665251505 28264402408 35330503010 70661006020 141322012040