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145107316002 = 231119743155741
BaseRepresentation
bin1000011100100100010…
…0011110110100100010
3111212112210000102012010
42013021010132310202
54334134433103002
6150354505213350
713324615556265
oct2071104366442
9455483012163
10145107316002
11565a332a260
1224158191256
13108b6a2637c
147047a66cdc
153b942c546c
hex21c911ed22

145107316002 has 64 divisors (see below), whose sum is σ = 333711498240. Its totient is φ = 41601268800.

The previous prime is 145107316001. The next prime is 145107316027. The reversal of 145107316002 is 200613701541.

It is a super-2 number, since 2×1451073160022 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145107316001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853852 + ... + 1009592.

It is an arithmetic number, because the mean of its divisors is an integer number (5214242160).

Almost surely, 2145107316002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145107316002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166855749120).

145107316002 is an abundant number, since it is smaller than the sum of its proper divisors (188604182238).

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

145107316002 is a wasteful number, since it uses less digits than its factorization.

145107316002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156519.

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 145107316002 in words is "one hundred forty-five billion, one hundred seven million, three hundred sixteen thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 743 1254 1486 2229 4458 8173 14117 16346 24519 28234 42351 49038 84702 155287 155741 310574 311482 465861 467223 931722 934446 1713151 2959079 3426302 5139453 5918158 8877237 10278906 17754474 32549869 65099738 97649607 115715563 195299214 231431126 347146689 694293378 1272871193 2198595697 2545742386 3818613579 4397191394 6595787091 7637227158 13191574182 24184552667 48369105334 72553658001 145107316002