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145432240000 = 275415711579
BaseRepresentation
bin1000011101110001101…
…1111101111110000000
3111220101102102021010021
42013130123331332000
54340321123140000
6150451033343224
713335642433465
oct2073433757600
9456342367107
10145432240000
115674a787493
1224228b67b14
131093913c8a8
147078c8766c
153bb2aa911a
hex21dc6fdf80

145432240000 has 160 divisors (see below), whose sum is σ = 364381954200. Its totient is φ = 57797376000.

The previous prime is 145432239947. The next prime is 145432240043. The reversal of 145432240000 is 42234541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12554211 + ... + 12565789.

Almost surely, 2145432240000 is an apocalyptic number.

145432240000 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 145432240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182190977100).

145432240000 is an abundant number, since it is smaller than the sum of its proper divisors (218949714200).

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

145432240000 is an equidigital number, since it uses as much as digits as its factorization.

145432240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11770 (or 11743 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 145432240000 its reverse (42234541), we get a palindrome (145474474541).

The spelling of 145432240000 in words is "one hundred forty-five billion, four hundred thirty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 157 160 200 250 314 320 400 500 625 628 640 785 800 1000 1250 1256 1570 1600 2000 2500 2512 3140 3200 3925 4000 5000 5024 6280 7850 8000 10000 10048 11579 12560 15700 16000 19625 20000 20096 23158 25120 31400 39250 40000 46316 50240 57895 62800 78500 80000 92632 98125 100480 115790 125600 157000 185264 196250 231580 251200 289475 314000 370528 392500 463160 502400 578950 628000 741056 785000 926320 1157900 1256000 1447375 1482112 1570000 1817903 1852640 2315800 2512000 2894750 3140000 3635806 3705280 4631600 5789500 6280000 7236875 7271612 7410560 9089515 9263200 11579000 12560000 14473750 14543224 18179030 18526400 23158000 28947500 29086448 36358060 37052800 45447575 46316000 57895000 58172896 72716120 90895150 92632000 115790000 116345792 145432240 181790300 185264000 227237875 231580000 232691584 290864480 363580600 454475750 463160000 581728960 727161200 908951500 926320000 1136189375 1163457920 1454322400 1817903000 2272378750 2908644800 3635806000 4544757500 5817289600 7271612000 9089515000 14543224000 18179030000 29086448000 36358060000 72716120000 145432240000