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145122503335420 = 2251317215661123323
BaseRepresentation
bin100000111111110011110111…
…010000101001110111111100
3201000211120112202222220010111
4200333303313100221313330
5123010141341323213140
61232352205131115404
742365516630153512
oct4077636720516774
9630746482886114
10145122503335420
1142271120884876
12143398688a2b64
1362c8cbb4b8690
1427b9d766584b2
1511b9e8184c7ea
hex83fcf7429dfc

145122503335420 has 144 divisors (see below), whose sum is σ = 348666742091808. Its totient is φ = 50428082442240.

The previous prime is 145122503335399. The next prime is 145122503335499. The reversal of 145122503335420 is 24533305221541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176705879 + ... + 1176829201.

It is an arithmetic number, because the mean of its divisors is an integer number (2421296820082).

Almost surely, 2145122503335420 is an apocalyptic number.

145122503335420 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 145122503335420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174333371045904).

145122503335420 is an abundant number, since it is smaller than the sum of its proper divisors (203544238756388).

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

145122503335420 is a wasteful number, since it uses less digits than its factorization.

145122503335420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139040 (or 139021 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 145122503335420 its reverse (24533305221541), we get a palindrome (169655808556961).

The spelling of 145122503335420 in words is "one hundred forty-five trillion, one hundred twenty-two billion, five hundred three million, three hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 289 340 442 578 884 1105 1156 1445 2210 2890 3757 4420 5780 7514 15028 15661 18785 31322 37570 62644 75140 78305 123323 156610 203593 246646 266237 313220 407186 493292 532474 616615 814372 1017965 1064948 1233230 1331185 1603199 2035930 2096491 2466460 2662370 3206398 3461081 4071860 4192982 4526029 5324740 6412796 6922162 8015995 8385964 9052058 10482455 13844324 16031990 17305405 18104116 20964910 22630145 27254383 32063980 34610810 35640347 41929820 45260290 54508766 58838377 69221620 71280694 90520580 109017532 117676754 136271915 142561388 178201735 235353508 272543830 294191885 356403470 463324511 545087660 588383770 712806940 926649022 1176767540 1853298044 1931361503 2316622555 3862723006 4633245110 7725446012 9266490220 9656807515 19313615030 25107699539 32833145551 38627230060 50215399078 65666291102 100430798156 125538497695 131332582204 164165727755 251076995390 328331455510 426830892163 502153990780 558163474367 656662911020 853661784326 1116326948734 1707323568652 2134154460815 2232653897468 2790817371835 4268308921630 5581634743670 7256125166771 8536617843260 11163269487340 14512250333542 29024500667084 36280625833855 72561251667710 145122503335420