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145413422040 = 233523913673709
BaseRepresentation
bin1000011101101101010…
…0001011101111011000
3111220100010000012201210
42013123110023233120
54340301314001130
6150445122143120
713335323456565
oct2073324135730
9456303005653
10145413422040
11567400a4257
12242227b1aa0
13109352814c3
14707658986c
153bb10dd5b0
hex21db50bbd8

145413422040 has 128 divisors (see below), whose sum is σ = 438504192000. Its totient is φ = 38576014848.

The previous prime is 145413422039. The next prime is 145413422083. The reversal of 145413422040 is 40224314541.

It is a super-2 number, since 2×1454134220402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145413421989 and 145413422007.

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, 39203706 + ... + 39207414.

It is an arithmetic number, because the mean of its divisors is an integer number (3425814000).

Almost surely, 2145413422040 is an apocalyptic number.

145413422040 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 145413422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219252096000).

145413422040 is an abundant number, since it is smaller than the sum of its proper divisors (293090769960).

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

145413422040 is a wasteful number, since it uses less digits than its factorization.

145413422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 145413422040 its reverse (40224314541), we get a palindrome (185637736581).

The spelling of 145413422040 in words is "one hundred forty-five billion, four hundred thirteen million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1367 1434 1912 2390 2734 2868 3585 3709 4101 4780 5468 5736 6835 7170 7418 8202 9560 10936 11127 13670 14340 14836 16404 18545 20505 22254 27340 28680 29672 32808 37090 41010 44508 54680 55635 74180 82020 89016 111270 148360 164040 222540 326713 445080 653426 886451 980139 1306852 1633565 1772902 1960278 2613704 2659353 3267130 3545804 3920556 4432255 4900695 5070203 5318706 6534260 7091608 7841112 8864510 9801390 10140406 10637412 13068520 13296765 15210609 17729020 19602780 20280812 21274824 25351015 26593530 30421218 35458040 39205560 40561624 50702030 53187060 60842436 76053045 101404060 106374120 121684872 152106090 202808120 304212180 608424360 1211778517 2423557034 3635335551 4847114068 6058892585 7270671102 9694228136 12117785170 14541342204 18176677755 24235570340 29082684408 36353355510 48471140680 72706711020 145413422040