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145210331351204 = 22743712297739523
BaseRepresentation
bin100001000001000101101010…
…001101111100100010100100
3201001010222020122220101000222
4201001011222031330202210
5123013111224311214304
61232500412202223512
742405046244033540
oct4101055215744244
9631128218811028
10145210331351204
11422a53a0470a89
121435289a1b4b98
1363043773380a2
1427c0308ccca20
1511bc3c21934be
hex84116a37c8a4

145210331351204 has 96 divisors (see below), whose sum is σ = 301491794774016. Its totient is φ = 59903411823360.

The previous prime is 145210331351131. The next prime is 145210331351213. The reversal of 145210331351204 is 402153133012541.

It is a super-2 number, since 2×1452103313512042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195986987 + ... + 196726509.

It is an arithmetic number, because the mean of its divisors is an integer number (3140539528896).

Almost surely, 2145210331351204 is an apocalyptic number.

145210331351204 is a gapful number since it is divisible by the number (14) 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 145210331351204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150745897387008).

145210331351204 is an abundant number, since it is smaller than the sum of its proper divisors (156281463422812).

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

145210331351204 is a wasteful number, since it uses less digits than its factorization.

145210331351204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741945 (or 741943 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 145210331351204 its reverse (402153133012541), we get a palindrome (547363464363745).

The spelling of 145210331351204 in words is "one hundred forty-five trillion, two hundred ten billion, three hundred thirty-one million, three hundred fifty-one thousand, two hundred four".

Divisors: 1 2 4 7 14 28 43 71 86 142 172 284 301 497 602 994 1204 1988 2297 3053 4594 6106 9188 12212 16079 21371 32158 42742 64316 85484 98771 163087 197542 326174 395084 652348 691397 739523 1141609 1382794 1479046 2283218 2765588 2958092 4566436 5176661 7012741 10353322 14025482 20706644 28050964 31799489 49089187 52506133 63598978 98178374 105012266 127197956 196356748 210024532 222596423 367542931 445192846 735085862 890385692 1470171724 1698684331 2257763719 3397368662 4515527438 6794737324 9031054876 11890790317 15804346033 23781580634 31608692066 47563161268 63217384132 73043426233 120606587501 146086852466 241213175002 292173704932 482426350004 511303983631 844246112507 1022607967262 1688492225014 2045215934524 3376984450028 5186083262543 10372166525086 20744333050172 36302582837801 72605165675602 145210331351204