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1450031320032 = 25331491999053
BaseRepresentation
bin10101000110011100100…
…110100000101111100000
312010121210011202012002220
4111012130212200233200
5142224131004220112
63030045111311040
7206522061566601
oct25063446405740
95117704665086
101450031320032
11509a55972569
121b503867b480
13a6977cc1659
145027916dda8
1527aba63e98c
hex1519c9a0be0

1450031320032 has 96 divisors (see below), whose sum is σ = 3929955563520. Its totient is φ = 467652226560.

The previous prime is 1450031320013. The next prime is 1450031320037. The reversal of 1450031320032 is 2300231300541.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1450031319984 and 1450031320011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450031320037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14589418 + ... + 14688470.

It is an arithmetic number, because the mean of its divisors is an integer number (40937037120).

Almost surely, 21450031320032 is an apocalyptic number.

1450031320032 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 1450031320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964977781760).

1450031320032 is an abundant number, since it is smaller than the sum of its proper divisors (2479924243488).

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

1450031320032 is a wasteful number, since it uses less digits than its factorization.

1450031320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104016 (or 104008 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 1450031320032 its reverse (2300231300541), we get a palindrome (3750262620573).

The spelling of 1450031320032 in words is "one trillion, four hundred fifty billion, thirty-one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4919 9838 14757 19676 29514 39352 59028 78704 99053 118056 152489 157408 198106 236112 297159 304978 396212 457467 472224 594318 609956 792424 914934 1188636 1219912 1584848 1829868 2377272 2439824 3070643 3169696 3659736 4754544 4879648 6141286 7319472 9211929 9509088 12282572 14638944 18423858 24565144 36847716 49130288 73695432 98260576 147390864 294781728 487241707 974483414 1461725121 1948966828 2923450242 3897933656 5846900484 7795867312 11693800968 15104492917 15591734624 23387601936 30208985834 45313478751 46775203872 60417971668 90626957502 120835943336 181253915004 241671886672 362507830008 483343773344 725015660016 1450031320032