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145305210423042 = 232671515871359311
BaseRepresentation
bin100001000010011110000001…
…011100111000011100000010
3201001111001010221121121110200
4201002132001130320130002
5123021140032332014132
61233012143034110030
742414645366606405
oct4102360134703402
9631431127547420
10145305210423042
1142331659203a4a
1214369158b7b316
1363102b7c28707
1427c4b49badd3c
1511beac6a3ad7c
hex842781738702

145305210423042 has 96 divisors (see below), whose sum is σ = 322191133415424. Its totient is φ = 47315406204000.

The previous prime is 145305210423031. The next prime is 145305210423083. The reversal of 145305210423042 is 240324012503541.

It is a happy number.

145305210423042 is a `hidden beast` number, since 1 + 4 + 5 + 305 + 2 + 1 + 0 + 42 + 304 + 2 = 666.

It is a super-2 number, since 2×1453052104230422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145305210422988 and 145305210423006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106216567 + ... + 107575877.

It is an arithmetic number, because the mean of its divisors is an integer number (3356157639744).

Almost surely, 2145305210423042 is an apocalyptic number.

145305210423042 is an abundant number, since it is smaller than the sum of its proper divisors (176885922992382).

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

145305210423042 is a wasteful number, since it uses less digits than its factorization.

145305210423042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360124 (or 1360121 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 145305210423042 its reverse (240324012503541), we get a palindrome (385629222926583).

The spelling of 145305210423042 in words is "one hundred forty-five trillion, three hundred five billion, two hundred ten million, four hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 67 134 151 201 302 402 453 587 603 906 1174 1206 1359 1761 2718 3522 5283 10117 10566 20234 30351 39329 60702 78658 88637 91053 117987 177274 182106 235974 265911 353961 531822 707922 797733 1359311 1595466 2718622 4077933 5938679 8155866 11877358 12233799 17816037 24467598 35632074 53448111 91073837 106896222 182147674 205255961 273221511 410511922 546443022 615767883 797915557 819664533 1231535766 1595831114 1639329066 1847303649 2393746671 3694607298 4787493342 7181240013 13752149387 14362480026 27504298774 41256448161 53460342319 82512896322 106920684638 120485249107 123769344483 160381026957 240970498214 247538688966 320762053914 361455747321 481143080871 722911494642 962286161742 1084367241963 2168734483926 8072511690169 16145023380338 24217535070507 48435070141014 72652605211521 145305210423042