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141213464352 = 25321975234759
BaseRepresentation
bin1000001110000011111…
…0100111011100100000
3111111111102001020220100
42003200332213130200
54303201121324402
6144512250342400
713126254433152
oct2034076473440
9444442036810
10141213464352
1154985356944
122345012aa00
13104160bbb3c
146b98864ad2
153a1751b71c
hex20e0fa7720

141213464352 has 144 divisors (see below), whose sum is σ = 404470946880. Its totient is φ = 46732847616.

The previous prime is 141213464347. The next prime is 141213464363. The reversal of 141213464352 is 253464312141.

141213464352 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 1 + 3 + 4 + 643 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29670549 + ... + 29675307.

It is an arithmetic number, because the mean of its divisors is an integer number (2808826020).

Almost surely, 2141213464352 is an apocalyptic number.

141213464352 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 141213464352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202235473440).

141213464352 is an abundant number, since it is smaller than the sum of its proper divisors (263257482528).

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

141213464352 is a wasteful number, since it uses less digits than its factorization.

141213464352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5484 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 141213464352 its reverse (253464312141), we get a palindrome (394677776493).

The spelling of 141213464352 in words is "one hundred forty-one billion, two hundred thirteen million, four hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 197 288 394 523 591 788 1046 1182 1569 1576 1773 2092 2364 3138 3152 3546 4184 4707 4728 4759 6276 6304 7092 8368 9414 9456 9518 12552 14184 14277 16736 18828 18912 19036 25104 28368 28554 37656 38072 42831 50208 56736 57108 75312 76144 85662 103031 114216 150624 152288 171324 206062 228432 309093 342648 412124 456864 618186 685296 824248 927279 937523 1236372 1370592 1648496 1854558 1875046 2472744 2488957 2812569 3296992 3709116 3750092 4945488 4977914 5625138 7418232 7466871 7500184 8437707 9890976 9955828 11250276 14836464 14933742 15000368 16875414 19911656 22400613 22500552 29672928 29867484 30000736 33750828 39823312 44801226 45001104 59734968 67501656 79646624 89602452 90002208 119469936 135003312 179204904 238939872 270006624 358409808 490324529 716819616 980649058 1470973587 1961298116 2941947174 3922596232 4412920761 5883894348 7845192464 8825841522 11767788696 15690384928 17651683044 23535577392 35303366088 47071154784 70606732176 141213464352