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145055811040 = 2557156782651
BaseRepresentation
bin1000011100011000000…
…0000000010111100000
3111212102012002200122221
42013012000000113200
54334033241423130
6150345425240424
713323422023120
oct2070600002740
9455365080587
10145055811040
1156577250878
1224142a93114
13108a9161c6a
147040c9ac80
153b8e9ee87a
hex21c60005e0

145055811040 has 96 divisors (see below), whose sum is σ = 391905368064. Its totient is φ = 49701081600.

The previous prime is 145055811037. The next prime is 145055811059. The reversal of 145055811040 is 40118550541.

It is a junction number, because it is equal to n+sod(n) for n = 145055810987 and 145055811005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713715 + ... + 1796365.

It is an arithmetic number, because the mean of its divisors is an integer number (4082347584).

Almost surely, 2145055811040 is an apocalyptic number.

145055811040 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 145055811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195952684032).

145055811040 is an abundant number, since it is smaller than the sum of its proper divisors (246849557024).

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

145055811040 is a wasteful number, since it uses less digits than its factorization.

145055811040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84240 (or 84232 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 34.

The spelling of 145055811040 in words is "one hundred forty-five billion, fifty-five million, eight hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1567 3134 6268 7835 10969 12536 15670 21938 25072 31340 43876 50144 54845 62680 82651 87752 109690 125360 165302 175504 219380 250720 330604 351008 413255 438760 578557 661208 826510 877520 1157114 1322416 1653020 1755040 2314228 2644832 2892785 3306040 4628456 5785570 6612080 9256912 11571140 13224160 18513824 23142280 46284560 92569120 129514117 259028234 518056468 647570585 906598819 1036112936 1295141170 1813197638 2072225872 2590282340 3626395276 4144451744 4532994095 5180564680 7252790552 9065988190 10361129360 14505581104 18131976380 20722258720 29011162208 36263952760 72527905520 145055811040