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145645024380 = 22352985398129
BaseRepresentation
bin1000011110100100011…
…1101011010001111100
3111220221020210211102020
42013221013223101330
54341240111240010
6150524114200140
713344135165222
oct2075107532174
9456836724366
10145645024380
1156849901549
1224288283050
1310971251bcb
147099236b12
153bc65db470
hex21e91eb47c

145645024380 has 96 divisors (see below), whose sum is σ = 422367220800. Its totient is φ = 37455065088.

The previous prime is 145645024379. The next prime is 145645024417. The reversal of 145645024380 is 83420546541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1435156 + ... + 1533284.

It is an arithmetic number, because the mean of its divisors is an integer number (4399658550).

Almost surely, 2145645024380 is an apocalyptic number.

145645024380 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 145645024380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211183610400).

145645024380 is an abundant number, since it is smaller than the sum of its proper divisors (276722196420).

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

145645024380 is a wasteful number, since it uses less digits than its factorization.

145645024380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99023 (or 99021 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 145645024380 in words is "one hundred forty-five billion, six hundred forty-five million, twenty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 853 870 1706 1740 2559 3412 4265 5118 8530 10236 12795 17060 24737 25590 49474 51180 74211 98129 98948 123685 148422 196258 247370 294387 296844 371055 392516 490645 494740 588774 742110 981290 1177548 1471935 1484220 1962580 2845741 2943870 5691482 5887740 8537223 11382964 14228705 17074446 28457410 34148892 42686115 56914820 83704037 85372230 167408074 170744460 251112111 334816148 418520185 502224222 837040370 1004448444 1255560555 1674080740 2427417073 2511121110 4854834146 5022242220 7282251219 9709668292 12137085365 14564502438 24274170730 29129004876 36411256095 48548341460 72822512190 145645024380