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145162652440 = 23513577483811
BaseRepresentation
bin1000011100110001011…
…1100100101100011000
3111212200122010210111211
42013030113210230120
54334243114334230
6150404203232504
713326160121101
oct2071427445430
9455618123454
10145162652440
1156621595353
1224172818734
13108c532c720
14705114d3a8
153b990a642a
hex21cc5e4b18

145162652440 has 64 divisors (see below), whose sum is σ = 352350603360. Its totient is φ = 53505515520.

The previous prime is 145162652429. The next prime is 145162652443. The reversal of 145162652440 is 44256261541.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 145162652393 and 145162652402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145162652443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58135 + ... + 541945.

Almost surely, 2145162652440 is an apocalyptic number.

145162652440 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 145162652440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176175301680).

145162652440 is an abundant number, since it is smaller than the sum of its proper divisors (207187950920).

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

145162652440 is a wasteful number, since it uses less digits than its factorization.

145162652440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484412 (or 484408 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 145162652440 in words is "one hundred forty-five billion, one hundred sixty-two million, six hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 577 1154 2308 2885 4616 5770 7501 11540 15002 23080 30004 37505 60008 75010 150020 300040 483811 967622 1935244 2419055 3870488 4838110 6289543 9676220 12579086 19352440 25158172 31447715 50316344 62895430 125790860 251581720 279158947 558317894 1116635788 1395794735 2233271576 2791589470 3629066311 5583178940 7258132622 11166357880 14516265244 18145331555 29032530488 36290663110 72581326220 145162652440